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

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

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

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

Combine like terms: 2 + 4 = 6
6 + -2x = x + -3

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

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

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

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

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

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

Simplifying
x = 3