2x+27=13x-76

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Solution for 2x+27=13x-76 equation:


Simplifying
2x + 27 = 13x + -76

Reorder the terms:
27 + 2x = 13x + -76

Reorder the terms:
27 + 2x = -76 + 13x

Solving
27 + 2x = -76 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
27 + 2x + -13x = -76 + 13x + -13x

Combine like terms: 2x + -13x = -11x
27 + -11x = -76 + 13x + -13x

Combine like terms: 13x + -13x = 0
27 + -11x = -76 + 0
27 + -11x = -76

Add '-27' to each side of the equation.
27 + -27 + -11x = -76 + -27

Combine like terms: 27 + -27 = 0
0 + -11x = -76 + -27
-11x = -76 + -27

Combine like terms: -76 + -27 = -103
-11x = -103

Divide each side by '-11'.
x = 9.363636364

Simplifying
x = 9.363636364

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