4(3+2(x+5))=76

Solution for 4(3+2(x+5))=76 equation:

Simplifying
4(3 + 2(x + 5)) = 76

Reorder the terms:
4(3 + 2(5 + x)) = 76
4(3 + (5 * 2 + x * 2)) = 76
4(3 + (10 + 2x)) = 76

Combine like terms: 3 + 10 = 13
4(13 + 2x) = 76
(13 * 4 + 2x * 4) = 76
(52 + 8x) = 76

Solving
52 + 8x = 76

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-52' to each side of the equation.
52 + -52 + 8x = 76 + -52

Combine like terms: 52 + -52 = 0
0 + 8x = 76 + -52
8x = 76 + -52

Combine like terms: 76 + -52 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3