8x+16=5x-22

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Solution for 8x+16=5x-22 equation:


Simplifying
8x + 16 = 5x + -22

Reorder the terms:
16 + 8x = 5x + -22

Reorder the terms:
16 + 8x = -22 + 5x

Solving
16 + 8x = -22 + 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.
16 + 8x + -5x = -22 + 5x + -5x

Combine like terms: 8x + -5x = 3x
16 + 3x = -22 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + 3x = -22 + 0
16 + 3x = -22

Add '-16' to each side of the equation.
16 + -16 + 3x = -22 + -16

Combine like terms: 16 + -16 = 0
0 + 3x = -22 + -16
3x = -22 + -16

Combine like terms: -22 + -16 = -38
3x = -38

Divide each side by '3'.
x = -12.66666667

Simplifying
x = -12.66666667

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