6x+52=11x+122

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Solution for 6x+52=11x+122 equation:


Simplifying
6x + 52 = 11x + 122

Reorder the terms:
52 + 6x = 11x + 122

Reorder the terms:
52 + 6x = 122 + 11x

Solving
52 + 6x = 122 + 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.
52 + 6x + -11x = 122 + 11x + -11x

Combine like terms: 6x + -11x = -5x
52 + -5x = 122 + 11x + -11x

Combine like terms: 11x + -11x = 0
52 + -5x = 122 + 0
52 + -5x = 122

Add '-52' to each side of the equation.
52 + -52 + -5x = 122 + -52

Combine like terms: 52 + -52 = 0
0 + -5x = 122 + -52
-5x = 122 + -52

Combine like terms: 122 + -52 = 70
-5x = 70

Divide each side by '-5'.
x = -14

Simplifying
x = -14

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