2x+13=75-5x

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Solution for 2x+13=75-5x equation:


Simplifying
2x + 13 = 75 + -5x

Reorder the terms:
13 + 2x = 75 + -5x

Solving
13 + 2x = 75 + -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 + 2x + 5x = 75 + -5x + 5x

Combine like terms: 2x + 5x = 7x
13 + 7x = 75 + -5x + 5x

Combine like terms: -5x + 5x = 0
13 + 7x = 75 + 0
13 + 7x = 75

Add '-13' to each side of the equation.
13 + -13 + 7x = 75 + -13

Combine like terms: 13 + -13 = 0
0 + 7x = 75 + -13
7x = 75 + -13

Combine like terms: 75 + -13 = 62
7x = 62

Divide each side by '7'.
x = 8.857142857

Simplifying
x = 8.857142857

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