Simplify the given equation.

6 - (3x + 10) + 4 (2 - x) = 15

Solve for x.

5 (x + 1) = 4 (x + 8)

6 - (3x + 10) + 4 (-x + 2) = 15

6 - 3x - 10 + 4 (-x) + 4 (2) = 15

6 - 3x - 10 - 4x + 8 = 15

-3x - 4x + 6 - 10 + 8 = 15

-7x - 4 + 8 = 15

-7x + 4 = 15

- 4 - 4

-7x = 11

-7 - 7

x = - 1⁴/₇

5 (x + 1) = 4 (x + 8)

5 (x) + 5 (1) = 4 (x) + 4 (8)

5x + 5 = 4x + 32

- 4x - 4x

x + 5 = 32

- 5 - 5

x = 27