6+-4(3-x)=2(x-3)

Solution for 6+-4(3-x)=2(x-3) equation:

Simplifying
6 + -4(3 + -1x) = 2(x + -3)
6 + (3 * -4 + -1x * -4) = 2(x + -3)
6 + (-12 + 4x) = 2(x + -3)

Combine like terms: 6 + -12 = -6
-6 + 4x = 2(x + -3)

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

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

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

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

Solving
4x = 2x

Solving for variable 'x'.

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

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

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

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

Divide each side by '2'.
x = 0

Simplifying
x = 0