6x+13=85-2x

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Solution for 6x+13=85-2x equation:


Simplifying
6x + 13 = 85 + -2x

Reorder the terms:
13 + 6x = 85 + -2x

Solving
13 + 6x = 85 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
13 + 6x + 2x = 85 + -2x + 2x

Combine like terms: 6x + 2x = 8x
13 + 8x = 85 + -2x + 2x

Combine like terms: -2x + 2x = 0
13 + 8x = 85 + 0
13 + 8x = 85

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

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

Combine like terms: 85 + -13 = 72
8x = 72

Divide each side by '8'.
x = 9

Simplifying
x = 9

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