6x+13=90-5x

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Solution for 6x+13=90-5x equation:


Simplifying
6x + 13 = 90 + -5x

Reorder the terms:
13 + 6x = 90 + -5x

Solving
13 + 6x = 90 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
13 + 6x + 5x = 90 + -5x + 5x

Combine like terms: 6x + 5x = 11x
13 + 11x = 90 + -5x + 5x

Combine like terms: -5x + 5x = 0
13 + 11x = 90 + 0
13 + 11x = 90

Add '-13' to each side of the equation.
13 + -13 + 11x = 90 + -13

Combine like terms: 13 + -13 = 0
0 + 11x = 90 + -13
11x = 90 + -13

Combine like terms: 90 + -13 = 77
11x = 77

Divide each side by '11'.
x = 7

Simplifying
x = 7

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