Question

solve the equation 3/4x+3-2x=-1/4+1/2x+5 i combine terms and got -5/4x+3=19/4+1/2x what is the next step??

do it this way step1:___
step2:____
etc etc

Answer 1

i added 5/4 and got -5/4x+17/4=6+1/2x is this correct?? the correct step?? also say the steps very straightfoward like no explenation

Answer 2

solve the equation 3/4x+3-2x=-1/4+1/2x+5 i combine terms and got -5/4x+3=19/4+1/2x I DONT WANT AN EXPLANATION JUST TELL ME OH YOU ADD THIS NOW OR NOW DIVIDE THIS OR THAT OR WHATEVER

Answer 3

for this 2. Subtract \(\frac{1}{2}x\) from both sides:

\(-\frac{5}{4}x - \frac{2}{4}x + 3 = \frac{19}{4}\) <------- THIS IS NOT CORRECT ITS -5/4x+5/2=17/4+1/2x

Answer 4

please please PLEASE for the love of cheese just explain the steps by doing this all the way from the start the equation is 3/4x+3-2x=-1/4+1/2x+5

step 1__
step2___
step3____
DO THAT

Answer 5

Let's solve the equation step by step. The original equation is:

\[
\frac{3}{4}x + 3 - 2x = -\frac{1}{4} + \frac{1}{2}x + 5
\]

You correctly combined terms and arrived at:

\[
-\frac{5}{4}x + 3 = \frac{19}{4} + \frac{1}{2}x
\]

Now, let's continue from there.

**Step 1:** Get all the \(x\) terms on one side and the constant terms on the other side. To do this, add \(\frac{5}{4}x\) to both sides and subtract \(\frac{19}{4}\) from both sides.

\[
3 - \frac{19}{4} = \frac{1}{2}x + \frac{5}{4}x
\]

**Step 2:** Convert 3 to a fraction with a denominator of 4:

\[
\frac{12}{4} - \frac{19}{4} = \frac{1}{2}x + \frac{5}{4}x
\]

**Step 3:** Simplify the left side:

\[
\frac{12 - 19}{4} = \frac{1}{2}x + \frac{5}{4}x
\]
\[
\frac{-7}{4} = \frac{1}{2}x + \frac{5}{4}x
\]

**Step 4:** Convert \(\frac{1}{2}x\) to have a common denominator of 4:

\[
\frac{1}{2}x = \frac{2}{4}x
\]

Now rewrite the equation:

\[
\frac{-7}{4} = \frac{2}{4}x + \frac{5}{4}x
\]

**Step 5:** Combine the \(x\) terms on the right:

\[
\frac{-7}{4} = \frac{7}{4}x
\]

**Step 6:** To isolate \(x\), multiply both sides by \(\frac{4}{7}\):

\[
x = \frac{-7}{4} \cdot \frac{4}{7}
\]

**Step 7:** Simplify:

\[
x = -1
\]

So the solution to the equation is:

\[
x = -1
\]

Answer 6

Sure! Let's go through the steps clearly and straightforwardly.

Starting from:

\[
-\frac{5}{4}x + 3 = \frac{19}{4} + \frac{1}{2}x
\]

**Step 1:** Rewrite \(3\) as a fraction.

\[
-\frac{5}{4}x + \frac{12}{4} = \frac{19}{4} + \frac{1}{2}x
\]

**Step 2:** Combine like terms on the left.

\[
-\frac{5}{4}x + \frac{12}{4} = \frac{19}{4} + \frac{1}{2}x \implies -\frac{5}{4}x + \frac{12}{4} = \frac{19}{4} + \frac{2}{4}x
\]

**Step 3:** Get all \(x\) terms on one side and constants on the other side.

\[
-\frac{5}{4}x - \frac{2}{4}x = \frac{19}{4} - \frac{12}{4}
\]

**Step 4:** Combine \(x\) terms.

\[
-\frac{7}{4}x = \frac{7}{4}
\]

**Step 5:** Multiply both sides by \(-\frac{4}{7}\).

\[
x = -1
\]

Final solution:

\[
x = -1
\]

Answer 7

Sure! Let's proceed with the steps.

1. Rewrite the equation:

\(-\frac{5}{4}x + 3 = \frac{19}{4} + \frac{1}{2}x\)

2. Subtract \(\frac{1}{2}x\) from both sides:

\(-\frac{5}{4}x - \frac{2}{4}x + 3 = \frac{19}{4}\)

3. Combine \(x\) terms:

\(-\frac{7}{4}x + 3 = \frac{19}{4}\)

4. Subtract \(3\) (or \(\frac{12}{4}\)) from both sides:

\(-\frac{7}{4}x = \frac{19}{4} - \frac{12}{4}\)

5. Simplify the right side:

\(-\frac{7}{4}x = \frac{7}{4}\)

6. Multiply both sides by \(-\frac{4}{7}\):

\(x = -1\)

Final answer:

\(x = -1\)

Answer 8

I apologize for any confusion. Let's go through your steps again from where you combined terms correctly.

Starting from:

\[
-\frac{5}{4}x + 3 = \frac{19}{4} + \frac{1}{2}x
\]

**Step 1:** Rewrite 3 as a fraction:

\[
-\frac{5}{4}x + \frac{12}{4} = \frac{19}{4} + \frac{1}{2}x
\]

**Step 2:** Subtract \(\frac{1}{2}x\) from both sides (convert \(\frac{1}{2}x\) to \(\frac{2}{4}x\)):

\[
-\frac{5}{4}x - \frac{2}{4}x + \frac{12}{4} = \frac{19}{4}
\]

**Step 3:** Combine \(x\) terms on the left:

\[
-\frac{7}{4}x + \frac{12}{4} = \frac{19}{4}
\]

**Step 4:** Subtract \(\frac{12}{4}\) from both sides:

\[
-\frac{7}{4}x = \frac{19}{4} - \frac{12}{4}
\]

**Step 5:** Simplify the right side:

\[
-\frac{7}{4}x = \frac{7}{4}
\]

**Step 6:** Multiply both sides by \(-\frac{4}{7}\):

\[
x = -1
\]

Final answer:

\[
x = -1
\]

If you have any adjustments to make, feel free to let me know!

Answer 9

Got it! Let's solve the equation step by step without any explanations.

Starting equation:

\[
\frac{3}{4}x + 3 - 2x = -\frac{1}{4} + \frac{1}{2}x + 5
\]

**Step 1:** Combine like terms on both sides.

\[
\frac{3}{4}x - 2x + 3 = -\frac{1}{4} + \frac{1}{2}x + 5
\]

**Step 2:** Rewrite \(-2x\) as \(-\frac{8}{4}x\).

\[
\frac{3}{4}x - \frac{8}{4}x + 3 = -\frac{1}{4} + \frac{1}{2}x + 5
\]

**Step 3:** Combine \(x\) terms on the left.

\[
-\frac{5}{4}x + 3 = -\frac{1}{4} + \frac{1}{2}x + 5
\]

**Step 4:** Combine the constants on the right (\(-\frac{1}{4} + 5\) = \(\frac{19}{4}\)).

\[
-\frac{5}{4}x + 3 = \frac{19}{4} + \frac{1}{2}x
\]

**Step 5:** Rewrite \(3\) as \(\frac{12}{4}\).

\[
-\frac{5}{4}x + \frac{12}{4} = \frac{19}{4} + \frac{1}{2}x
\]

**Step 6:** Subtract \(\frac{1}{2}x\) (or \(\frac{2}{4}x\)) from both sides.

\[
-\frac{5}{4}x - \frac{2}{4}x + \frac{12}{4} = \frac{19}{4}
\]

**Step 7:** Combine the \(x\) terms on the left.

\[
-\frac{7}{4}x + \frac{12}{4} = \frac{19}{4}
\]

**Step 8:** Subtract \(\frac{12}{4}\) from both sides.

\[
-\frac{7}{4}x = \frac{19}{4} - \frac{12}{4}
\]

**Step 9:** Simplify the right side.

\[
-\frac{7}{4}x = \frac{7}{4}
\]

**Step 10:** Multiply both sides by \(-\frac{4}{7}\).

\[
x = -1
\]

Final answer:

\[
x = -1
\]

Thank you for your patience!