13x-6=4(3x+2)-2

Solution for 13x-6=4(3x+2)-2 equation:

Simplifying
13x + -6 = 4(3x + 2) + -2

Reorder the terms:
-6 + 13x = 4(3x + 2) + -2

Reorder the terms:
-6 + 13x = 4(2 + 3x) + -2
-6 + 13x = (2 * 4 + 3x * 4) + -2
-6 + 13x = (8 + 12x) + -2

Reorder the terms:
-6 + 13x = 8 + -2 + 12x

Combine like terms: 8 + -2 = 6
-6 + 13x = 6 + 12x

Solving
-6 + 13x = 6 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-6 + 13x + -12x = 6 + 12x + -12x

Combine like terms: 13x + -12x = 1x
-6 + 1x = 6 + 12x + -12x

Combine like terms: 12x + -12x = 0
-6 + 1x = 6 + 0
-6 + 1x = 6

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

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

Combine like terms: 6 + 6 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12