6x+13=85-3x

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Solution for 6x+13=85-3x equation:


Simplifying
6x + 13 = 85 + -3x

Reorder the terms:
13 + 6x = 85 + -3x

Solving
13 + 6x = 85 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
13 + 6x + 3x = 85 + -3x + 3x

Combine like terms: 6x + 3x = 9x
13 + 9x = 85 + -3x + 3x

Combine like terms: -3x + 3x = 0
13 + 9x = 85 + 0
13 + 9x = 85

Add '-13' to each side of the equation.
13 + -13 + 9x = 85 + -13

Combine like terms: 13 + -13 = 0
0 + 9x = 85 + -13
9x = 85 + -13

Combine like terms: 85 + -13 = 72
9x = 72

Divide each side by '9'.
x = 8

Simplifying
x = 8

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