2x+17=11x-82

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Solution for 2x+17=11x-82 equation:


Simplifying
2x + 17 = 11x + -82

Reorder the terms:
17 + 2x = 11x + -82

Reorder the terms:
17 + 2x = -82 + 11x

Solving
17 + 2x = -82 + 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.
17 + 2x + -11x = -82 + 11x + -11x

Combine like terms: 2x + -11x = -9x
17 + -9x = -82 + 11x + -11x

Combine like terms: 11x + -11x = 0
17 + -9x = -82 + 0
17 + -9x = -82

Add '-17' to each side of the equation.
17 + -17 + -9x = -82 + -17

Combine like terms: 17 + -17 = 0
0 + -9x = -82 + -17
-9x = -82 + -17

Combine like terms: -82 + -17 = -99
-9x = -99

Divide each side by '-9'.
x = 11

Simplifying
x = 11

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