6(x-1)+2x=-8(x-9)

Solution for 6(x-1)+2x=-8(x-9) equation:

Simplifying
6(x + -1) + 2x = -8(x + -9)

Reorder the terms:
6(-1 + x) + 2x = -8(x + -9)
(-1 * 6 + x * 6) + 2x = -8(x + -9)
(-6 + 6x) + 2x = -8(x + -9)

Combine like terms: 6x + 2x = 8x
-6 + 8x = -8(x + -9)

Reorder the terms:
-6 + 8x = -8(-9 + x)
-6 + 8x = (-9 * -8 + x * -8)
-6 + 8x = (72 + -8x)

Solving
-6 + 8x = 72 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-6 + 8x + 8x = 72 + -8x + 8x

Combine like terms: 8x + 8x = 16x
-6 + 16x = 72 + -8x + 8x

Combine like terms: -8x + 8x = 0
-6 + 16x = 72 + 0
-6 + 16x = 72

Add '6' to each side of the equation.
-6 + 6 + 16x = 72 + 6

Combine like terms: -6 + 6 = 0
0 + 16x = 72 + 6
16x = 72 + 6

Combine like terms: 72 + 6 = 78
16x = 78

Divide each side by '16'.
x = 4.875

Simplifying
x = 4.875