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

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

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

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

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

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

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

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

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

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

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

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

Combine like terms: 6 + 6 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12