2(x-3)-8x=5(x+1)

Solution for 2(x-3)-8x=5(x+1) equation:

Simplifying
2(x + -3) + -8x = 5(x + 1)

Reorder the terms:
2(-3 + x) + -8x = 5(x + 1)
(-3 * 2 + x * 2) + -8x = 5(x + 1)
(-6 + 2x) + -8x = 5(x + 1)

Combine like terms: 2x + -8x = -6x
-6 + -6x = 5(x + 1)

Reorder the terms:
-6 + -6x = 5(1 + x)
-6 + -6x = (1 * 5 + x * 5)
-6 + -6x = (5 + 5x)

Solving
-6 + -6x = 5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-6 + -6x + -5x = 5 + 5x + -5x

Combine like terms: -6x + -5x = -11x
-6 + -11x = 5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -11x = 5 + 0
-6 + -11x = 5

Add '6' to each side of the equation.
-6 + 6 + -11x = 5 + 6

Combine like terms: -6 + 6 = 0
0 + -11x = 5 + 6
-11x = 5 + 6

Combine like terms: 5 + 6 = 11
-11x = 11

Divide each side by '-11'.
x = -1

Simplifying
x = -1