10+4(2x-1)=2(x+1)-8

Solution for 10+4(2x-1)=2(x+1)-8 equation:

Simplifying
10 + 4(2x + -1) = 2(x + 1) + -8

Reorder the terms:
10 + 4(-1 + 2x) = 2(x + 1) + -8
10 + (-1 * 4 + 2x * 4) = 2(x + 1) + -8
10 + (-4 + 8x) = 2(x + 1) + -8

Combine like terms: 10 + -4 = 6
6 + 8x = 2(x + 1) + -8

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

Reorder the terms:
6 + 8x = 2 + -8 + 2x

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

Solving
6 + 8x = -6 + 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 + 8x + -2x = -6 + 2x + -2x

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

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

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

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

Combine like terms: -6 + -6 = -12
6x = -12

Divide each side by '6'.
x = -2

Simplifying
x = -2