6(2x-13)-2(2x+1)=

Solution for 6(2x-13)-2(2x+1)= equation:

Simplifying
6(2x + -13) + -2(2x + 1) = 0

Reorder the terms:
6(-13 + 2x) + -2(2x + 1) = 0
(-13 * 6 + 2x * 6) + -2(2x + 1) = 0
(-78 + 12x) + -2(2x + 1) = 0

Reorder the terms:
-78 + 12x + -2(1 + 2x) = 0
-78 + 12x + (1 * -2 + 2x * -2) = 0
-78 + 12x + (-2 + -4x) = 0

Reorder the terms:
-78 + -2 + 12x + -4x = 0

Combine like terms: -78 + -2 = -80
-80 + 12x + -4x = 0

Combine like terms: 12x + -4x = 8x
-80 + 8x = 0

Solving
-80 + 8x = 0

Solving for variable 'x'.

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

Add '80' to each side of the equation.
-80 + 80 + 8x = 0 + 80

Combine like terms: -80 + 80 = 0
0 + 8x = 0 + 80
8x = 0 + 80

Combine like terms: 0 + 80 = 80
8x = 80

Divide each side by '8'.
x = 10

Simplifying
x = 10