11x-20=9x-102

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Solution for 11x-20=9x-102 equation:


Simplifying
11x + -20 = 9x + -102

Reorder the terms:
-20 + 11x = 9x + -102

Reorder the terms:
-20 + 11x = -102 + 9x

Solving
-20 + 11x = -102 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-20 + 11x + -9x = -102 + 9x + -9x

Combine like terms: 11x + -9x = 2x
-20 + 2x = -102 + 9x + -9x

Combine like terms: 9x + -9x = 0
-20 + 2x = -102 + 0
-20 + 2x = -102

Add '20' to each side of the equation.
-20 + 20 + 2x = -102 + 20

Combine like terms: -20 + 20 = 0
0 + 2x = -102 + 20
2x = -102 + 20

Combine like terms: -102 + 20 = -82
2x = -82

Divide each side by '2'.
x = -41

Simplifying
x = -41

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