2x+6=4-(8x-6)

Solution for 2x+6=4-(8x-6) equation:

Simplifying
2x + 6 = 4 + -1(8x + -6)

Reorder the terms:
6 + 2x = 4 + -1(8x + -6)

Reorder the terms:
6 + 2x = 4 + -1(-6 + 8x)
6 + 2x = 4 + (-6 * -1 + 8x * -1)
6 + 2x = 4 + (6 + -8x)

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

Solving
6 + 2x = 10 + -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 + 2x + 8x = 10 + -8x + 8x

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

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

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

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

Combine like terms: 10 + -6 = 4
10x = 4

Divide each side by '10'.
x = 0.4

Simplifying
x = 0.4