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

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

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

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

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

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

Solving
3 + -1x = -6 + 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.
3 + -1x + -2x = -6 + 2x + -2x

Combine like terms: -1x + -2x = -3x
3 + -3x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -3x = -6 + 0
3 + -3x = -6

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

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

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

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

Simplifying
x = 3