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

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

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

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

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

Add '6' to each side of the equation.
-6 + 6 + 2x = -6 + 6 + 4x

Combine like terms: -6 + 6 = 0
0 + 2x = -6 + 6 + 4x
2x = -6 + 6 + 4x

Combine like terms: -6 + 6 = 0
2x = 0 + 4x
2x = 4x

Solving
2x = 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2x + -4x = 4x + -4x

Combine like terms: 2x + -4x = -2x
-2x = 4x + -4x

Combine like terms: 4x + -4x = 0
-2x = 0

Divide each side by '-2'.
x = 0

Simplifying
x = 0