5x+13=62-2x

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Solution for 5x+13=62-2x equation:


Simplifying
5x + 13 = 62 + -2x

Reorder the terms:
13 + 5x = 62 + -2x

Solving
13 + 5x = 62 + -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.
13 + 5x + 2x = 62 + -2x + 2x

Combine like terms: 5x + 2x = 7x
13 + 7x = 62 + -2x + 2x

Combine like terms: -2x + 2x = 0
13 + 7x = 62 + 0
13 + 7x = 62

Add '-13' to each side of the equation.
13 + -13 + 7x = 62 + -13

Combine like terms: 13 + -13 = 0
0 + 7x = 62 + -13
7x = 62 + -13

Combine like terms: 62 + -13 = 49
7x = 49

Divide each side by '7'.
x = 7

Simplifying
x = 7

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