x*3+106=x*11-6

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Solution for x*3+106=x*11-6 equation:


Simplifying
x * 3 + 106 = x * 11 + -6

Reorder the terms for easier multiplication:
3x + 106 = x * 11 + -6

Reorder the terms:
106 + 3x = x * 11 + -6

Reorder the terms for easier multiplication:
106 + 3x = 11x + -6

Reorder the terms:
106 + 3x = -6 + 11x

Solving
106 + 3x = -6 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
106 + 3x + -11x = -6 + 11x + -11x

Combine like terms: 3x + -11x = -8x
106 + -8x = -6 + 11x + -11x

Combine like terms: 11x + -11x = 0
106 + -8x = -6 + 0
106 + -8x = -6

Add '-106' to each side of the equation.
106 + -106 + -8x = -6 + -106

Combine like terms: 106 + -106 = 0
0 + -8x = -6 + -106
-8x = -6 + -106

Combine like terms: -6 + -106 = -112
-8x = -112

Divide each side by '-8'.
x = 14

Simplifying
x = 14

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