2x+38=11x-61

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Solution for 2x+38=11x-61 equation:


Simplifying
2x + 38 = 11x + -61

Reorder the terms:
38 + 2x = 11x + -61

Reorder the terms:
38 + 2x = -61 + 11x

Solving
38 + 2x = -61 + 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.
38 + 2x + -11x = -61 + 11x + -11x

Combine like terms: 2x + -11x = -9x
38 + -9x = -61 + 11x + -11x

Combine like terms: 11x + -11x = 0
38 + -9x = -61 + 0
38 + -9x = -61

Add '-38' to each side of the equation.
38 + -38 + -9x = -61 + -38

Combine like terms: 38 + -38 = 0
0 + -9x = -61 + -38
-9x = -61 + -38

Combine like terms: -61 + -38 = -99
-9x = -99

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

Simplifying
x = 11

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