5x-13=7-5x

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


Simplifying
5x + -13 = 7 + -5x

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

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

Combine like terms: 5x + 5x = 10x
-13 + 10x = 7 + -5x + 5x

Combine like terms: -5x + 5x = 0
-13 + 10x = 7 + 0
-13 + 10x = 7

Add '13' to each side of the equation.
-13 + 13 + 10x = 7 + 13

Combine like terms: -13 + 13 = 0
0 + 10x = 7 + 13
10x = 7 + 13

Combine like terms: 7 + 13 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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