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

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

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

Combine like terms: 3x + -1x = 2x
-4(2x) + 6 = 2(x + -3)

Remove parenthesis around (2x)
-4 * 2x + 6 = 2(x + -3)

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

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

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

Solving
6 + -8x = -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 + -8x + -2x = -6 + 2x + -2x

Combine like terms: -8x + -2x = -10x
6 + -10x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + -10x = -6 + 0
6 + -10x = -6

Add '-6' to each side of the equation.
6 + -6 + -10x = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -10x = -6 + -6
-10x = -6 + -6

Combine like terms: -6 + -6 = -12
-10x = -12

Divide each side by '-10'.
x = 1.2

Simplifying
x = 1.2