4(x+1)+2(x+1)=12

Solution for 4(x+1)+2(x+1)=12 equation:

Simplifying
4(x + 1) + 2(x + 1) = 12

Reorder the terms:
4(1 + x) + 2(x + 1) = 12
(1 * 4 + x * 4) + 2(x + 1) = 12
(4 + 4x) + 2(x + 1) = 12

Reorder the terms:
4 + 4x + 2(1 + x) = 12
4 + 4x + (1 * 2 + x * 2) = 12
4 + 4x + (2 + 2x) = 12

Reorder the terms:
4 + 2 + 4x + 2x = 12

Combine like terms: 4 + 2 = 6
6 + 4x + 2x = 12

Combine like terms: 4x + 2x = 6x
6 + 6x = 12

Solving
6 + 6x = 12

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 + 6x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 6x = 12 + -6
6x = 12 + -6

Combine like terms: 12 + -6 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1