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

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

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

Reorder the terms:
2x + 3(2 + 4x) = 76
2x + (2 * 3 + 4x * 3) = 76
2x + (6 + 12x) = 76

Reorder the terms:
6 + 2x + 12x = 76

Combine like terms: 2x + 12x = 14x
6 + 14x = 76

Solving
6 + 14x = 76

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 14x = 76 + -6

Combine like terms: 6 + -6 = 0
0 + 14x = 76 + -6
14x = 76 + -6

Combine like terms: 76 + -6 = 70
14x = 70

Divide each side by '14'.
x = 5

Simplifying
x = 5