5x+3=13-2x

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


Simplifying
5x + 3 = 13 + -2x

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

Solving
3 + 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.
3 + 5x + 2x = 13 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
3 + 7x = 13 + 0
3 + 7x = 13

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

Combine like terms: 3 + -3 = 0
0 + 7x = 13 + -3
7x = 13 + -3

Combine like terms: 13 + -3 = 10
7x = 10

Divide each side by '7'.
x = 1.428571429

Simplifying
x = 1.428571429

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