2x+19=11x-71

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Solution for 2x+19=11x-71 equation:


Simplifying
2x + 19 = 11x + -71

Reorder the terms:
19 + 2x = 11x + -71

Reorder the terms:
19 + 2x = -71 + 11x

Solving
19 + 2x = -71 + 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.
19 + 2x + -11x = -71 + 11x + -11x

Combine like terms: 2x + -11x = -9x
19 + -9x = -71 + 11x + -11x

Combine like terms: 11x + -11x = 0
19 + -9x = -71 + 0
19 + -9x = -71

Add '-19' to each side of the equation.
19 + -19 + -9x = -71 + -19

Combine like terms: 19 + -19 = 0
0 + -9x = -71 + -19
-9x = -71 + -19

Combine like terms: -71 + -19 = -90
-9x = -90

Divide each side by '-9'.
x = 10

Simplifying
x = 10

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