2x+167=11x-13

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Solution for 2x+167=11x-13 equation:


Simplifying
2x + 167 = 11x + -13

Reorder the terms:
167 + 2x = 11x + -13

Reorder the terms:
167 + 2x = -13 + 11x

Solving
167 + 2x = -13 + 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.
167 + 2x + -11x = -13 + 11x + -11x

Combine like terms: 2x + -11x = -9x
167 + -9x = -13 + 11x + -11x

Combine like terms: 11x + -11x = 0
167 + -9x = -13 + 0
167 + -9x = -13

Add '-167' to each side of the equation.
167 + -167 + -9x = -13 + -167

Combine like terms: 167 + -167 = 0
0 + -9x = -13 + -167
-9x = -13 + -167

Combine like terms: -13 + -167 = -180
-9x = -180

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

Simplifying
x = 20

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