6x+81=13x-10

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Solution for 6x+81=13x-10 equation:


Simplifying
6x + 81 = 13x + -10

Reorder the terms:
81 + 6x = 13x + -10

Reorder the terms:
81 + 6x = -10 + 13x

Solving
81 + 6x = -10 + 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.
81 + 6x + -13x = -10 + 13x + -13x

Combine like terms: 6x + -13x = -7x
81 + -7x = -10 + 13x + -13x

Combine like terms: 13x + -13x = 0
81 + -7x = -10 + 0
81 + -7x = -10

Add '-81' to each side of the equation.
81 + -81 + -7x = -10 + -81

Combine like terms: 81 + -81 = 0
0 + -7x = -10 + -81
-7x = -10 + -81

Combine like terms: -10 + -81 = -91
-7x = -91

Divide each side by '-7'.
x = 13

Simplifying
x = 13

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