2x-83=11x+97

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Solution for 2x-83=11x+97 equation:


Simplifying
2x + -83 = 11x + 97

Reorder the terms:
-83 + 2x = 11x + 97

Reorder the terms:
-83 + 2x = 97 + 11x

Solving
-83 + 2x = 97 + 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.
-83 + 2x + -11x = 97 + 11x + -11x

Combine like terms: 2x + -11x = -9x
-83 + -9x = 97 + 11x + -11x

Combine like terms: 11x + -11x = 0
-83 + -9x = 97 + 0
-83 + -9x = 97

Add '83' to each side of the equation.
-83 + 83 + -9x = 97 + 83

Combine like terms: -83 + 83 = 0
0 + -9x = 97 + 83
-9x = 97 + 83

Combine like terms: 97 + 83 = 180
-9x = 180

Divide each side by '-9'.
x = -20

Simplifying
x = -20

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