13x+15=8x-5

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


Simplifying
13x + 15 = 8x + -5

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

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

Solving
15 + 13x = -5 + 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.
15 + 13x + -8x = -5 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
15 + 5x = -5 + 0
15 + 5x = -5

Add '-15' to each side of the equation.
15 + -15 + 5x = -5 + -15

Combine like terms: 15 + -15 = 0
0 + 5x = -5 + -15
5x = -5 + -15

Combine like terms: -5 + -15 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4

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