Question

help me how to solve this 3/4x+3-2x=-1/4+1/2x+5

ive already combined terms

Answer 1

one by one please

Answer 2

hey no like LITTERALLY one at a time not all together like

1st combine terms


then i ask whats next??

you add 3

LIKE THAT

Answer 3

tell me the next step

Answer 4

3/4x+3-2x=-1/4+1/2x+5
combine terms
-5/4x+3=19/4+1/2x
subtract 1/2
-7/4x+3=19/4
subtract 3
-7/4x=7/4
multiply -4/7
x=-1

SEE WHAT I DID THERE??

I WANTED YOU YOUUUUU TO 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 mentioned that you've already combined terms, so let's start by simplifying both sides.

### Step 1: Simplify Both Sides

First, simplify the left side:

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

To combine \(\frac{3}{4}x\) and \(-2x\), convert \(-2x\) into a fraction with a denominator of 4:

\[
-2x = -\frac{8}{4}x
\]

Now combine them:

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

So, the left side simplifies to:

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

Now, simplify the right side:

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

Transform \(5\) into a fraction:

\[
5 = \frac{20}{4}
\]

Combine the constants:

\[
-\frac{1}{4} + \frac{20}{4} = \frac{19}{4}
\]

So, the right side simplifies to:

\[
\frac{1}{2}x + \frac{19}{4}
\]

### Step 2: Combine the simplified expressions

Now we can rewrite the equation as:

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

### Step 3: Clear the fractions

To eliminate the fractions, we can multiply the entire equation by 4 (the common denominator):

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

This gives:

\[
-5x + 12 = 2x + 19
\]

### Step 4: Move all terms involving \(x\) to one side and constants to the other side

\[
-5x - 2x = 19 - 12
\]

Simplifying gives:

\[
-7x = 7
\]

### Step 5: Solve for \(x\)

Divide both sides by -7:

\[
x = -1
\]

### Final Answer

Thus, the solution to the equation is:

\[
x = -1
\]

Answer 6

Sure! Let's go through the solution step by step.

### Step 1: Write the original equation
The original equation is:
\[
\frac{3}{4}x + 3 - 2x = -\frac{1}{4} + \frac{1}{2}x + 5
\]

### Step 2: Combine like terms on both sides
Let's start with the left side \( \frac{3}{4}x + 3 - 2x\).

- First, we need to combine \(\frac{3}{4}x\) and \(-2x\). We can rewrite \(-2x\) with a common denominator of 4:
\[
-2x = -\frac{8}{4}x
\]
Now, combine:
\[
\frac{3}{4}x - \frac{8}{4}x = -\frac{5}{4}x
\]

Thus, the left side simplifies to:
\[
-\frac{5}{4}x + 3
\]

Now for the right side: \(-\frac{1}{4} + \frac{1}{2}x + 5\). Change \(5\) into a fraction with a denominator of 4:
\[
5 = \frac{20}{4}
\]
Now combine the constants:
\[
-\frac{1}{4} + \frac{20}{4} = \frac{19}{4}
\]
So, the right side simplifies to:
\[
\frac{1}{2}x + \frac{19}{4}
\]

### Step 3: Rewrite the equation
With both sides simplified, the equation now looks like:
\[
-\frac{5}{4}x + 3 = \frac{1}{2}x + \frac{19}{4}
\]

Would you like to proceed to the next step?

Answer 7

Got it! Let's go step by step, one action at a time.

### Step 1: Combine like terms on the left side of the equation.

Start with the original equation:
\[
\frac{3}{4}x + 3 - 2x = -\frac{1}{4} + \frac{1}{2}x + 5
\]

Now, combine the terms on the left side:
\(\frac{3}{4}x\) and \(-2x\).

What do you want to do next?

Answer 8

### Step 2: Combine \(\frac{3}{4}x\) and \(-2x\).

To combine these, we need to rewrite \(-2x\) as a fraction with a denominator of 4:

\[
-2x = -\frac{8}{4}x
\]

Now combine \(\frac{3}{4}x\) and \(-\frac{8}{4}x\):

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

So the left side becomes:
\[
-\frac{5}{4}x + 3
\]

Would you like to proceed to the next step?

Answer 9

Got it! Sorry for the misunderstanding. Let's follow your approach step by step.

### Start with the original equation:

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

### Step 1: Combine Terms

Let's do that:

On the left side:
\[
-\frac{5}{4}x + 3
\]

On the right side:
\[
\frac{19}{4} + \frac{1}{2}x
\]

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

### Step 2: Now, subtract \(\frac{1}{2}x\) from both sides

What do you want to do next?