x*14+22=x*6+182

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Solution for x*14+22=x*6+182 equation: 


Simplifying
x * 14 + 22 = x * 6 + 182

Reorder the terms for easier multiplication:
14x + 22 = x * 6 + 182

Reorder the terms:
22 + 14x = x * 6 + 182

Reorder the terms for easier multiplication:
22 + 14x = 6x + 182

Reorder the terms:
22 + 14x = 182 + 6x

Solving
22 + 14x = 182 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
22 + 14x + -6x = 182 + 6x + -6x

Combine like terms: 14x + -6x = 8x
22 + 8x = 182 + 6x + -6x

Combine like terms: 6x + -6x = 0
22 + 8x = 182 + 0
22 + 8x = 182

Add '-22' to each side of the equation.
22 + -22 + 8x = 182 + -22

Combine like terms: 22 + -22 = 0
0 + 8x = 182 + -22
8x = 182 + -22

Combine like terms: 182 + -22 = 160
8x = 160

Divide each side by '8'.
x = 20

Simplifying
x = 20

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