2(x+3)+4(x-1)=32

Solution for 2(x+3)+4(x-1)=32 equation:

Simplifying
2(x + 3) + 4(x + -1) = 32

Reorder the terms:
2(3 + x) + 4(x + -1) = 32
(3 * 2 + x * 2) + 4(x + -1) = 32
(6 + 2x) + 4(x + -1) = 32

Reorder the terms:
6 + 2x + 4(-1 + x) = 32
6 + 2x + (-1 * 4 + x * 4) = 32
6 + 2x + (-4 + 4x) = 32

Reorder the terms:
6 + -4 + 2x + 4x = 32

Combine like terms: 6 + -4 = 2
2 + 2x + 4x = 32

Combine like terms: 2x + 4x = 6x
2 + 6x = 32

Solving
2 + 6x = 32

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 6x = 32 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = 32 + -2
6x = 32 + -2

Combine like terms: 32 + -2 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5