4(x-2) + 3(x+4) = 32

Expanding the terms:

4x - 8 + 3x + 12 = 32

Combining like terms:

7x + 4 = 32

Subtracting 4 from both sides:

7x = 28

Dividing by 7:

x = 4

Therefore, the solution to the equation is x = 4.