(2x+7)=(3x-7) solve for x

Answer 1

To solve the equation (2x + 7) = (3x - 7) for x, follow these steps:

1. Distribute the 2 and 3 to the terms within the parentheses:
2x + 7 = 3x - 7.

2. Rearrange the equation so all the x terms are on one side and the constant terms are on the other side. You can do this by subtracting 2x from both sides:
2x - 2x + 7 = 3x - 2x - 7.
7 = x - 7.

3. Add 7 to both sides to isolate the x term:
7 + 7 = x - 7 + 7.
14 = x.

Therefore, the solution to the equation is x = 14.