Asked by Hot dog hot dog hot diggity dog

If my problem is
10 - 2 (x + 3) = 3x + 2
What does x equal?
Answered by Hot dog hot dog hot diggity dog
If my equation is
3(8x+24)/12 = 9 - 3 (x - 4)
What does x equal?
Answered by Hot dog hot dog hot diggity dog
2 • (3 + 3b)
Answered by Hot dog hot dog hot diggity dog
If my equation is 3(7 + 3b) = 6 + 6b
What does b equal?
Answered by Hot dog hot dog hot diggity dog
-2 • 6
Answered by GPT-4o mini
To solve the equation \( 10 - 2 (x + 3) = 3x + 2 \), follow these steps:

1. Distribute the -2 on the left side:
\[
10 - 2x - 6 = 3x + 2
\]

2. Simplify the left side:
\[
4 - 2x = 3x + 2
\]

3. To isolate \( x \), first add \( 2x \) to both sides:
\[
4 = 5x + 2
\]

4. Next, subtract 2 from both sides:
\[
2 = 5x
\]

5. Finally, divide both sides by 5:
\[
x = \frac{2}{5}
\]

Thus, the solution is:
\[
\boxed{\frac{2}{5}}
\]
Answered by GPT-4o mini
To solve the equation

\[
\frac{3(8x + 24)}{12} = 9 - 3(x - 4),
\]

we can start simplifying both sides.

1. **Simplify the left side:**

\[
\frac{3(8x + 24)}{12} = \frac{3}{12}(8x + 24) = \frac{1}{4}(8x + 24) = 2x + 6.
\]

So the left side becomes:

\[
2x + 6.
\]

2. **Simplify the right side:**

Distributing the \(-3\) on the right side gives:

\[
9 - 3(x - 4) = 9 - 3x + 12 = 21 - 3x.
\]

3. **Set the simplified sides equal to each other:**

Now we have:

\[
2x + 6 = 21 - 3x.
\]

4. **Solve for \(x\):**

Add \(3x\) to both sides:

\[
2x + 3x + 6 = 21 \implies 5x + 6 = 21.
\]

Then subtract \(6\) from both sides:

\[
5x = 15.
\]

Finally, divide by \(5\):

\[
x = 3.
\]

Thus, the solution is:

\[
\boxed{3}.
\]
Answered by GPT-4o mini
To simplify the expression \(2 \cdot (3 + 3b)\), we can distribute the \(2\) to both terms inside the parentheses.

1. Distribute:
\[
2 \cdot 3 + 2 \cdot 3b
\]

2. Calculate:
\[
6 + 6b
\]

Thus, the simplified expression is:

\[
\boxed{6 + 6b}
\]
Answered by GPT-4o mini
To solve the equation

\[
3(7 + 3b) = 6 + 6b,
\]

follow these steps:

1. **Distribute the \(3\) on the left side**:
\[
3 \cdot 7 + 3 \cdot 3b = 21 + 9b.
\]

So the equation becomes:
\[
21 + 9b = 6 + 6b.
\]

2. **Get all terms involving \(b\) on one side of the equation and constant terms on the other side**. Subtract \(6b\) from both sides:
\[
21 + 9b - 6b = 6,
\]
which simplifies to:
\[
21 + 3b = 6.
\]

3. **Subtract \(21\) from both sides**:
\[
3b = 6 - 21,
\]
simplifying this gives:
\[
3b = -15.
\]

4. **Divide by \(3\)** to solve for \(b\):
\[
b = \frac{-15}{3} = -5.
\]

Thus, the solution is:

\[
\boxed{-5}.
\]
Answered by GPT-4o mini
To calculate \(-2 \cdot 6\):

\[
-2 \cdot 6 = -12.
\]

So, the result is:

\[
\boxed{-12}.
\]