2[x+4(6-x)+18]-11=37-8x

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Solution for 2[x+4(6-x)+18]-11=37-8x equation: 


Simplifying
2[x + 4(6 + -1x) + 18] + -11 = 37 + -8x
2[x + (6 * 4 + -1x * 4) + 18] + -11 = 37 + -8x
2[x + (24 + -4x) + 18] + -11 = 37 + -8x

Reorder the terms:
2[24 + 18 + x + -4x] + -11 = 37 + -8x

Combine like terms: 24 + 18 = 42
2[42 + x + -4x] + -11 = 37 + -8x

Combine like terms: x + -4x = -3x
2[42 + -3x] + -11 = 37 + -8x
[42 * 2 + -3x * 2] + -11 = 37 + -8x
[84 + -6x] + -11 = 37 + -8x

Reorder the terms:
84 + -11 + -6x = 37 + -8x

Combine like terms: 84 + -11 = 73
73 + -6x = 37 + -8x

Solving
73 + -6x = 37 + -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.
73 + -6x + 8x = 37 + -8x + 8x

Combine like terms: -6x + 8x = 2x
73 + 2x = 37 + -8x + 8x

Combine like terms: -8x + 8x = 0
73 + 2x = 37 + 0
73 + 2x = 37

Add '-73' to each side of the equation.
73 + -73 + 2x = 37 + -73

Combine like terms: 73 + -73 = 0
0 + 2x = 37 + -73
2x = 37 + -73

Combine like terms: 37 + -73 = -36
2x = -36

Divide each side by '2'.
x = -18

Simplifying
x = -18

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