-2(4x-3)+8x=-4(x+1)

Solution for -2(4x-3)+8x=-4(x+1) equation:

Simplifying
-2(4x + -3) + 8x = -4(x + 1)

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

Combine like terms: -8x + 8x = 0
6 + 0 = -4(x + 1)
6 = -4(x + 1)

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

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

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

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

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

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

Divide each side by '4'.
x = -2.5

Simplifying
x = -2.5