8x+2=5x-13

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


Simplifying
8x + 2 = 5x + -13

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

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

Solving
2 + 8x = -13 + 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.
2 + 8x + -5x = -13 + 5x + -5x

Combine like terms: 8x + -5x = 3x
2 + 3x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
2 + 3x = -13 + 0
2 + 3x = -13

Add '-2' to each side of the equation.
2 + -2 + 3x = -13 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = -13 + -2
3x = -13 + -2

Combine like terms: -13 + -2 = -15
3x = -15

Divide each side by '3'.
x = -5

Simplifying
x = -5

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