5x+7=13-2x

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Solution for 5x+7=13-2x equation:


Simplifying
5x + 7 = 13 + -2x

Reorder the terms:
7 + 5x = 13 + -2x

Solving
7 + 5x = 13 + -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.
7 + 5x + 2x = 13 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
7 + 7x = 13 + 0
7 + 7x = 13

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

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

Combine like terms: 13 + -7 = 6
7x = 6

Divide each side by '7'.
x = 0.8571428571

Simplifying
x = 0.8571428571

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