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

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

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

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

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

Reorder the terms:
-6 + 2x = 3 + x + -1x

Combine like terms: x + -1x = 0
-6 + 2x = 3 + 0
-6 + 2x = 3

Solving
-6 + 2x = 3

Solving for variable 'x'.

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

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

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

Combine like terms: 3 + 6 = 9
2x = 9

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5