6x-13=85-8x

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Solution for 6x-13=85-8x equation:


Simplifying
6x + -13 = 85 + -8x

Reorder the terms:
-13 + 6x = 85 + -8x

Solving
-13 + 6x = 85 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-13 + 6x + 8x = 85 + -8x + 8x

Combine like terms: 6x + 8x = 14x
-13 + 14x = 85 + -8x + 8x

Combine like terms: -8x + 8x = 0
-13 + 14x = 85 + 0
-13 + 14x = 85

Add '13' to each side of the equation.
-13 + 13 + 14x = 85 + 13

Combine like terms: -13 + 13 = 0
0 + 14x = 85 + 13
14x = 85 + 13

Combine like terms: 85 + 13 = 98
14x = 98

Divide each side by '14'.
x = 7

Simplifying
x = 7

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