4x-2(x-3)=-6+4x+8

Solution for 4x-2(x-3)=-6+4x+8 equation:

Simplifying
4x + -2(x + -3) = -6 + 4x + 8

Reorder the terms:
4x + -2(-3 + x) = -6 + 4x + 8
4x + (-3 * -2 + x * -2) = -6 + 4x + 8
4x + (6 + -2x) = -6 + 4x + 8

Reorder the terms:
6 + 4x + -2x = -6 + 4x + 8

Combine like terms: 4x + -2x = 2x
6 + 2x = -6 + 4x + 8

Reorder the terms:
6 + 2x = -6 + 8 + 4x

Combine like terms: -6 + 8 = 2
6 + 2x = 2 + 4x

Solving
6 + 2x = 2 + 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.
6 + 2x + -4x = 2 + 4x + -4x

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

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

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

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

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

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

Simplifying
x = 2