Question

Solve 4(2x - 3) = 5x + 6(1 point)
Responses

18
18

6
6

12
12

0

Answer 1

To solve the equation \(4(2x - 3) = 5x + 6\), follow these steps:

1. Distribute 4 on the left side:
\[
4(2x) - 4(3) = 5x + 6
\]
This simplifies to:
\[
8x - 12 = 5x + 6
\]

2. Next, get all terms containing \(x\) on one side and constant terms on the other side. Subtract \(5x\) from both sides:
\[
8x - 5x - 12 = 6
\]
Which simplifies to:
\[
3x - 12 = 6
\]

3. Now, add 12 to both sides:
\[
3x = 6 + 12
\]
This simplifies to:
\[
3x = 18
\]

4. Finally, divide both sides by 3:
\[
x = \frac{18}{3} = 6
\]

Thus, the solution to the equation \(4(2x - 3) = 5x + 6\) is \(x = 6\).

So the answer is \(6\).