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

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

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

Reorder the terms:
2(-3 + 2x) + -3(x + -1) = 5(x + -1) + 2
(-3 * 2 + 2x * 2) + -3(x + -1) = 5(x + -1) + 2
(-6 + 4x) + -3(x + -1) = 5(x + -1) + 2

Reorder the terms:
-6 + 4x + -3(-1 + x) = 5(x + -1) + 2
-6 + 4x + (-1 * -3 + x * -3) = 5(x + -1) + 2
-6 + 4x + (3 + -3x) = 5(x + -1) + 2

Reorder the terms:
-6 + 3 + 4x + -3x = 5(x + -1) + 2

Combine like terms: -6 + 3 = -3
-3 + 4x + -3x = 5(x + -1) + 2

Combine like terms: 4x + -3x = 1x
-3 + 1x = 5(x + -1) + 2

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

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

Combine like terms: -5 + 2 = -3
-3 + 1x = -3 + 5x

Add '3' to each side of the equation.
-3 + 3 + 1x = -3 + 3 + 5x

Combine like terms: -3 + 3 = 0
0 + 1x = -3 + 3 + 5x
1x = -3 + 3 + 5x

Combine like terms: -3 + 3 = 0
1x = 0 + 5x
1x = 5x

Solving
1x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
1x + -5x = 5x + -5x

Combine like terms: 1x + -5x = -4x
-4x = 5x + -5x

Combine like terms: 5x + -5x = 0
-4x = 0

Divide each side by '-4'.
x = 0

Simplifying
x = 0