5x+22=8x-5

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


Simplifying
5x + 22 = 8x + -5

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

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

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

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

Combine like terms: 8x + -8x = 0
22 + -3x = -5 + 0
22 + -3x = -5

Add '-22' to each side of the equation.
22 + -22 + -3x = -5 + -22

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

Combine like terms: -5 + -22 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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