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

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

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

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

Combine like terms: 6 + -6 = 0
0 + 2x = 4(x + -3)
2x = 4(x + -3)

Reorder the terms:
2x = 4(-3 + x)
2x = (-3 * 4 + x * 4)
2x = (-12 + 4x)

Solving
2x = -12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2x + -4x = -12 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-2x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2x = -12 + 0
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6