8x-5+13=-2-5x+9-6

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Solution for 8x-5+13=-2-5x+9-6 equation:


Simplifying
8x + -5 + 13 = -2 + -5x + 9 + -6

Reorder the terms:
-5 + 13 + 8x = -2 + -5x + 9 + -6

Combine like terms: -5 + 13 = 8
8 + 8x = -2 + -5x + 9 + -6

Reorder the terms:
8 + 8x = -2 + 9 + -6 + -5x

Combine like terms: -2 + 9 = 7
8 + 8x = 7 + -6 + -5x

Combine like terms: 7 + -6 = 1
8 + 8x = 1 + -5x

Solving
8 + 8x = 1 + -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.
8 + 8x + 5x = 1 + -5x + 5x

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

Combine like terms: -5x + 5x = 0
8 + 13x = 1 + 0
8 + 13x = 1

Add '-8' to each side of the equation.
8 + -8 + 13x = 1 + -8

Combine like terms: 8 + -8 = 0
0 + 13x = 1 + -8
13x = 1 + -8

Combine like terms: 1 + -8 = -7
13x = -7

Divide each side by '13'.
x = -0.5384615385

Simplifying
x = -0.5384615385

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