6x+85=13x-13

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Solution for 6x+85=13x-13 equation:


Simplifying
6x + 85 = 13x + -13

Reorder the terms:
85 + 6x = 13x + -13

Reorder the terms:
85 + 6x = -13 + 13x

Solving
85 + 6x = -13 + 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.
85 + 6x + -13x = -13 + 13x + -13x

Combine like terms: 6x + -13x = -7x
85 + -7x = -13 + 13x + -13x

Combine like terms: 13x + -13x = 0
85 + -7x = -13 + 0
85 + -7x = -13

Add '-85' to each side of the equation.
85 + -85 + -7x = -13 + -85

Combine like terms: 85 + -85 = 0
0 + -7x = -13 + -85
-7x = -13 + -85

Combine like terms: -13 + -85 = -98
-7x = -98

Divide each side by '-7'.
x = 14

Simplifying
x = 14

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