5x-8=-2x+13

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Solution for 5x-8=-2x+13 equation:


Simplifying
5x + -8 = -2x + 13

Reorder the terms:
-8 + 5x = -2x + 13

Reorder the terms:
-8 + 5x = 13 + -2x

Solving
-8 + 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.
-8 + 5x + 2x = 13 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-8 + 7x = 13 + -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + 7x = 13 + 0
-8 + 7x = 13

Add '8' to each side of the equation.
-8 + 8 + 7x = 13 + 8

Combine like terms: -8 + 8 = 0
0 + 7x = 13 + 8
7x = 13 + 8

Combine like terms: 13 + 8 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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