3(2-x)=5(2x-1)+37

Solution for 3(2-x)=5(2x-1)+37 equation:

Simplifying
3(2 + -1x) = 5(2x + -1) + 37
(2 * 3 + -1x * 3) = 5(2x + -1) + 37
(6 + -3x) = 5(2x + -1) + 37

Reorder the terms:
6 + -3x = 5(-1 + 2x) + 37
6 + -3x = (-1 * 5 + 2x * 5) + 37
6 + -3x = (-5 + 10x) + 37

Reorder the terms:
6 + -3x = -5 + 37 + 10x

Combine like terms: -5 + 37 = 32
6 + -3x = 32 + 10x

Solving
6 + -3x = 32 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + -3x + -10x = 32 + 10x + -10x

Combine like terms: -3x + -10x = -13x
6 + -13x = 32 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -13x = 32 + 0
6 + -13x = 32

Add '-6' to each side of the equation.
6 + -6 + -13x = 32 + -6

Combine like terms: 6 + -6 = 0
0 + -13x = 32 + -6
-13x = 32 + -6

Combine like terms: 32 + -6 = 26
-13x = 26

Divide each side by '-13'.
x = -2

Simplifying
x = -2