x-2(x-3)=3

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

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

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

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

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

Solving
6 + -1x = 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 + -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