21x-(31+x)=-52-3(13+6x)-8(-x-15)

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Solution for 21x-(31+x)=-52-3(13+6x)-8(-x-15) equation: 


Simplifying
21x + -1(31 + x) = -52 + -3(13 + 6x) + -8(-1x + -15)
21x + (31 * -1 + x * -1) = -52 + -3(13 + 6x) + -8(-1x + -15)
21x + (-31 + -1x) = -52 + -3(13 + 6x) + -8(-1x + -15)

Reorder the terms:
-31 + 21x + -1x = -52 + -3(13 + 6x) + -8(-1x + -15)

Combine like terms: 21x + -1x = 20x
-31 + 20x = -52 + -3(13 + 6x) + -8(-1x + -15)
-31 + 20x = -52 + (13 * -3 + 6x * -3) + -8(-1x + -15)
-31 + 20x = -52 + (-39 + -18x) + -8(-1x + -15)

Reorder the terms:
-31 + 20x = -52 + -39 + -18x + -8(-15 + -1x)
-31 + 20x = -52 + -39 + -18x + (-15 * -8 + -1x * -8)
-31 + 20x = -52 + -39 + -18x + (120 + 8x)

Reorder the terms:
-31 + 20x = -52 + -39 + 120 + -18x + 8x

Combine like terms: -52 + -39 = -91
-31 + 20x = -91 + 120 + -18x + 8x

Combine like terms: -91 + 120 = 29
-31 + 20x = 29 + -18x + 8x

Combine like terms: -18x + 8x = -10x
-31 + 20x = 29 + -10x

Solving
-31 + 20x = 29 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-31 + 20x + 10x = 29 + -10x + 10x

Combine like terms: 20x + 10x = 30x
-31 + 30x = 29 + -10x + 10x

Combine like terms: -10x + 10x = 0
-31 + 30x = 29 + 0
-31 + 30x = 29

Add '31' to each side of the equation.
-31 + 31 + 30x = 29 + 31

Combine like terms: -31 + 31 = 0
0 + 30x = 29 + 31
30x = 29 + 31

Combine like terms: 29 + 31 = 60
30x = 60

Divide each side by '30'.
x = 2

Simplifying
x = 2

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