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

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

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

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

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

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

Reorder the terms:
6 + 6x = -2(5 + x)
6 + 6x = (5 * -2 + x * -2)
6 + 6x = (-10 + -2x)

Solving
6 + 6x = -10 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
6 + 6x + 2x = -10 + -2x + 2x

Combine like terms: 6x + 2x = 8x
6 + 8x = -10 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 8x = -10 + 0
6 + 8x = -10

Add '-6' to each side of the equation.
6 + -6 + 8x = -10 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = -10 + -6
8x = -10 + -6

Combine like terms: -10 + -6 = -16
8x = -16

Divide each side by '8'.
x = -2

Simplifying
x = -2