5x-3+2x=13-x

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Solution for 5x-3+2x=13-x equation:


Simplifying
5x + -3 + 2x = 13 + -1x

Reorder the terms:
-3 + 5x + 2x = 13 + -1x

Combine like terms: 5x + 2x = 7x
-3 + 7x = 13 + -1x

Solving
-3 + 7x = 13 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
-3 + 7x + x = 13 + -1x + x

Combine like terms: 7x + x = 8x
-3 + 8x = 13 + -1x + x

Combine like terms: -1x + x = 0
-3 + 8x = 13 + 0
-3 + 8x = 13

Add '3' to each side of the equation.
-3 + 3 + 8x = 13 + 3

Combine like terms: -3 + 3 = 0
0 + 8x = 13 + 3
8x = 13 + 3

Combine like terms: 13 + 3 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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