5x+15=8x-16

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Solution for 5x+15=8x-16 equation:


Simplifying
5x + 15 = 8x + -16

Reorder the terms:
15 + 5x = 8x + -16

Reorder the terms:
15 + 5x = -16 + 8x

Solving
15 + 5x = -16 + 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 + 5x + -8x = -16 + 8x + -8x

Combine like terms: 5x + -8x = -3x
15 + -3x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
15 + -3x = -16 + 0
15 + -3x = -16

Add '-15' to each side of the equation.
15 + -15 + -3x = -16 + -15

Combine like terms: 15 + -15 = 0
0 + -3x = -16 + -15
-3x = -16 + -15

Combine like terms: -16 + -15 = -31
-3x = -31

Divide each side by '-3'.
x = 10.33333333

Simplifying
x = 10.33333333

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