2[x-3(-x-5)+1]=2(x+11)-(-4+x)

Solution for 2[x-3(-x-5)+1]=2(x+11)-(-4+x) equation:

Simplifying
2[x + -3(-1x + -5) + 1] = 2(x + 11) + -1(-4 + x)

Reorder the terms:
2[x + -3(-5 + -1x) + 1] = 2(x + 11) + -1(-4 + x)
2[x + (-5 * -3 + -1x * -3) + 1] = 2(x + 11) + -1(-4 + x)
2[x + (15 + 3x) + 1] = 2(x + 11) + -1(-4 + x)

Reorder the terms:
2[15 + 1 + x + 3x] = 2(x + 11) + -1(-4 + x)

Combine like terms: 15 + 1 = 16
2[16 + x + 3x] = 2(x + 11) + -1(-4 + x)

Combine like terms: x + 3x = 4x
2[16 + 4x] = 2(x + 11) + -1(-4 + x)
[16 * 2 + 4x * 2] = 2(x + 11) + -1(-4 + x)
[32 + 8x] = 2(x + 11) + -1(-4 + x)

Reorder the terms:
32 + 8x = 2(11 + x) + -1(-4 + x)
32 + 8x = (11 * 2 + x * 2) + -1(-4 + x)
32 + 8x = (22 + 2x) + -1(-4 + x)
32 + 8x = 22 + 2x + (-4 * -1 + x * -1)
32 + 8x = 22 + 2x + (4 + -1x)

Reorder the terms:
32 + 8x = 22 + 4 + 2x + -1x

Combine like terms: 22 + 4 = 26
32 + 8x = 26 + 2x + -1x

Combine like terms: 2x + -1x = 1x
32 + 8x = 26 + 1x

Solving
32 + 8x = 26 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
32 + 8x + -1x = 26 + 1x + -1x

Combine like terms: 8x + -1x = 7x
32 + 7x = 26 + 1x + -1x

Combine like terms: 1x + -1x = 0
32 + 7x = 26 + 0
32 + 7x = 26

Add '-32' to each side of the equation.
32 + -32 + 7x = 26 + -32

Combine like terms: 32 + -32 = 0
0 + 7x = 26 + -32
7x = 26 + -32

Combine like terms: 26 + -32 = -6
7x = -6

Divide each side by '7'.
x = -0.8571428571

Simplifying
x = -0.8571428571