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

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

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

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

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

Remove parenthesis around (-3 + x)
-6 + 2x = -3 + x

Solving
-6 + 2x = -3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 2x + -1x = -3 + x + -1x

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

Combine like terms: x + -1x = 0
-6 + 1x = -3 + 0
-6 + 1x = -3

Add '6' to each side of the equation.
-6 + 6 + 1x = -3 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = -3 + 6
1x = -3 + 6

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

Divide each side by '1'.
x = 3

Simplifying
x = 3