6(2x-1)=59-x

Solution for 6(2x-1)=59-x equation:

Simplifying
6(2x + -1) = 59 + -1x

Reorder the terms:
6(-1 + 2x) = 59 + -1x
(-1 * 6 + 2x * 6) = 59 + -1x
(-6 + 12x) = 59 + -1x

Solving
-6 + 12x = 59 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 12x + x = 59 + -1x + x

Combine like terms: 12x + x = 13x
-6 + 13x = 59 + -1x + x

Combine like terms: -1x + x = 0
-6 + 13x = 59 + 0
-6 + 13x = 59

Add '6' to each side of the equation.
-6 + 6 + 13x = 59 + 6

Combine like terms: -6 + 6 = 0
0 + 13x = 59 + 6
13x = 59 + 6

Combine like terms: 59 + 6 = 65
13x = 65

Divide each side by '13'.
x = 5

Simplifying
x = 5