3(x+2)=4(x-2)+8

Solution for 3(x+2)=4(x-2)+8 equation:

Simplifying
3(x + 2) = 4(x + -2) + 8

Reorder the terms:
3(2 + x) = 4(x + -2) + 8
(2 * 3 + x * 3) = 4(x + -2) + 8
(6 + 3x) = 4(x + -2) + 8

Reorder the terms:
6 + 3x = 4(-2 + x) + 8
6 + 3x = (-2 * 4 + x * 4) + 8
6 + 3x = (-8 + 4x) + 8

Reorder the terms:
6 + 3x = -8 + 8 + 4x

Combine like terms: -8 + 8 = 0
6 + 3x = 0 + 4x
6 + 3x = 4x

Solving
6 + 3x = 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 3x + -4x = 4x + -4x

Combine like terms: 3x + -4x = -1x
6 + -1x = 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -1x = 0

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6