x*3+122=x*10-11

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Solution for x*3+122=x*10-11 equation:


Simplifying
x * 3 + 122 = x * 10 + -11

Reorder the terms for easier multiplication:
3x + 122 = x * 10 + -11

Reorder the terms:
122 + 3x = x * 10 + -11

Reorder the terms for easier multiplication:
122 + 3x = 10x + -11

Reorder the terms:
122 + 3x = -11 + 10x

Solving
122 + 3x = -11 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
122 + 3x + -10x = -11 + 10x + -10x

Combine like terms: 3x + -10x = -7x
122 + -7x = -11 + 10x + -10x

Combine like terms: 10x + -10x = 0
122 + -7x = -11 + 0
122 + -7x = -11

Add '-122' to each side of the equation.
122 + -122 + -7x = -11 + -122

Combine like terms: 122 + -122 = 0
0 + -7x = -11 + -122
-7x = -11 + -122

Combine like terms: -11 + -122 = -133
-7x = -133

Divide each side by '-7'.
x = 19

Simplifying
x = 19

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