7x+27+5x-9=13x-17-8x-21

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Solution for 7x+27+5x-9=13x-17-8x-21 equation: 


Simplifying
7x + 27 + 5x + -9 = 13x + -17 + -8x + -21

Reorder the terms:
27 + -9 + 7x + 5x = 13x + -17 + -8x + -21

Combine like terms: 27 + -9 = 18
18 + 7x + 5x = 13x + -17 + -8x + -21

Combine like terms: 7x + 5x = 12x
18 + 12x = 13x + -17 + -8x + -21

Reorder the terms:
18 + 12x = -17 + -21 + 13x + -8x

Combine like terms: -17 + -21 = -38
18 + 12x = -38 + 13x + -8x

Combine like terms: 13x + -8x = 5x
18 + 12x = -38 + 5x

Solving
18 + 12x = -38 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
18 + 12x + -5x = -38 + 5x + -5x

Combine like terms: 12x + -5x = 7x
18 + 7x = -38 + 5x + -5x

Combine like terms: 5x + -5x = 0
18 + 7x = -38 + 0
18 + 7x = -38

Add '-18' to each side of the equation.
18 + -18 + 7x = -38 + -18

Combine like terms: 18 + -18 = 0
0 + 7x = -38 + -18
7x = -38 + -18

Combine like terms: -38 + -18 = -56
7x = -56

Divide each side by '7'.
x = -8

Simplifying
x = -8

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