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

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

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

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

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

Combine like terms: 2x + -3x = -1x
6 + -1x = 2(3 + -1x) + -5
6 + -1x = (3 * 2 + -1x * 2) + -5
6 + -1x = (6 + -2x) + -5

Reorder the terms:
6 + -1x = 6 + -5 + -2x

Combine like terms: 6 + -5 = 1
6 + -1x = 1 + -2x

Solving
6 + -1x = 1 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
6 + -1x + 2x = 1 + -2x + 2x

Combine like terms: -1x + 2x = 1x
6 + 1x = 1 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 1x = 1 + 0
6 + 1x = 1

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

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

Combine like terms: 1 + -6 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5