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

Solution for 4(2x+1)=6-(x+8) equation:

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

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

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

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

Solving
4 + 8x = -2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
4 + 8x + x = -2 + -1x + x

Combine like terms: 8x + x = 9x
4 + 9x = -2 + -1x + x

Combine like terms: -1x + x = 0
4 + 9x = -2 + 0
4 + 9x = -2

Add '-4' to each side of the equation.
4 + -4 + 9x = -2 + -4

Combine like terms: 4 + -4 = 0
0 + 9x = -2 + -4
9x = -2 + -4

Combine like terms: -2 + -4 = -6
9x = -6

Divide each side by '9'.
x = -0.6666666667

Simplifying
x = -0.6666666667