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

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

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

Reorder the terms:
6 + -3x = 2 + -5 + -6x

Combine like terms: 2 + -5 = -3
6 + -3x = -3 + -6x

Solving
6 + -3x = -3 + -6x

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: -3 + -6 = -9
3x = -9

Divide each side by '3'.
x = -3

Simplifying
x = -3