-2(2x-3)+8x=-6(x+1)

Solution for -2(2x-3)+8x=-6(x+1) equation:

Simplifying
-2(2x + -3) + 8x = -6(x + 1)

Reorder the terms:
-2(-3 + 2x) + 8x = -6(x + 1)
(-3 * -2 + 2x * -2) + 8x = -6(x + 1)
(6 + -4x) + 8x = -6(x + 1)

Combine like terms: -4x + 8x = 4x
6 + 4x = -6(x + 1)

Reorder the terms:
6 + 4x = -6(1 + x)
6 + 4x = (1 * -6 + x * -6)
6 + 4x = (-6 + -6x)

Solving
6 + 4x = -6 + -6x

Solving for variable 'x'.

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

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

Combine like terms: 4x + 6x = 10x
6 + 10x = -6 + -6x + 6x

Combine like terms: -6x + 6x = 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