6x+77=11x-13

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Solution for 6x+77=11x-13 equation:


Simplifying
6x + 77 = 11x + -13

Reorder the terms:
77 + 6x = 11x + -13

Reorder the terms:
77 + 6x = -13 + 11x

Solving
77 + 6x = -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.
77 + 6x + -11x = -13 + 11x + -11x

Combine like terms: 6x + -11x = -5x
77 + -5x = -13 + 11x + -11x

Combine like terms: 11x + -11x = 0
77 + -5x = -13 + 0
77 + -5x = -13

Add '-77' to each side of the equation.
77 + -77 + -5x = -13 + -77

Combine like terms: 77 + -77 = 0
0 + -5x = -13 + -77
-5x = -13 + -77

Combine like terms: -13 + -77 = -90
-5x = -90

Divide each side by '-5'.
x = 18

Simplifying
x = 18

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