x*8+22=x*5+82

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Solution for x*8+22=x*5+82 equation:


Simplifying
x * 8 + 22 = x * 5 + 82

Reorder the terms for easier multiplication:
8x + 22 = x * 5 + 82

Reorder the terms:
22 + 8x = x * 5 + 82

Reorder the terms for easier multiplication:
22 + 8x = 5x + 82

Reorder the terms:
22 + 8x = 82 + 5x

Solving
22 + 8x = 82 + 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.
22 + 8x + -5x = 82 + 5x + -5x

Combine like terms: 8x + -5x = 3x
22 + 3x = 82 + 5x + -5x

Combine like terms: 5x + -5x = 0
22 + 3x = 82 + 0
22 + 3x = 82

Add '-22' to each side of the equation.
22 + -22 + 3x = 82 + -22

Combine like terms: 22 + -22 = 0
0 + 3x = 82 + -22
3x = 82 + -22

Combine like terms: 82 + -22 = 60
3x = 60

Divide each side by '3'.
x = 20

Simplifying
x = 20

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