8x+15=5x-2

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


Simplifying
8x + 15 = 5x + -2

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

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

Solving
15 + 8x = -2 + 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.
15 + 8x + -5x = -2 + 5x + -5x

Combine like terms: 8x + -5x = 3x
15 + 3x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
15 + 3x = -2 + 0
15 + 3x = -2

Add '-15' to each side of the equation.
15 + -15 + 3x = -2 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = -2 + -15
3x = -2 + -15

Combine like terms: -2 + -15 = -17
3x = -17

Divide each side by '3'.
x = -5.666666667

Simplifying
x = -5.666666667

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