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

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

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

Reorder the terms:
-12 + 6 + 4x = 2(x + 3)

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

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

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

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

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

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

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

Combine like terms: 6 + 6 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6