5x-2+15-4x=2x-28-13+8x

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Solution for 5x-2+15-4x=2x-28-13+8x equation: 


Simplifying
5x + -2 + 15 + -4x = 2x + -28 + -13 + 8x

Reorder the terms:
-2 + 15 + 5x + -4x = 2x + -28 + -13 + 8x

Combine like terms: -2 + 15 = 13
13 + 5x + -4x = 2x + -28 + -13 + 8x

Combine like terms: 5x + -4x = 1x
13 + 1x = 2x + -28 + -13 + 8x

Reorder the terms:
13 + 1x = -28 + -13 + 2x + 8x

Combine like terms: -28 + -13 = -41
13 + 1x = -41 + 2x + 8x

Combine like terms: 2x + 8x = 10x
13 + 1x = -41 + 10x

Solving
13 + 1x = -41 + 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.
13 + 1x + -10x = -41 + 10x + -10x

Combine like terms: 1x + -10x = -9x
13 + -9x = -41 + 10x + -10x

Combine like terms: 10x + -10x = 0
13 + -9x = -41 + 0
13 + -9x = -41

Add '-13' to each side of the equation.
13 + -13 + -9x = -41 + -13

Combine like terms: 13 + -13 = 0
0 + -9x = -41 + -13
-9x = -41 + -13

Combine like terms: -41 + -13 = -54
-9x = -54

Divide each side by '-9'.
x = 6

Simplifying
x = 6

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