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

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

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

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

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

Reorder the terms:
6 + -2x = 6 + -4(8 + 4x)
6 + -2x = 6 + (8 * -4 + 4x * -4)
6 + -2x = 6 + (-32 + -16x)

Combine like terms: 6 + -32 = -26
6 + -2x = -26 + -16x

Solving
6 + -2x = -26 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
6 + -2x + 16x = -26 + -16x + 16x

Combine like terms: -2x + 16x = 14x
6 + 14x = -26 + -16x + 16x

Combine like terms: -16x + 16x = 0
6 + 14x = -26 + 0
6 + 14x = -26

Add '-6' to each side of the equation.
6 + -6 + 14x = -26 + -6

Combine like terms: 6 + -6 = 0
0 + 14x = -26 + -6
14x = -26 + -6

Combine like terms: -26 + -6 = -32
14x = -32

Divide each side by '14'.
x = -2.285714286

Simplifying
x = -2.285714286