5x+13=43-2x

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Solution for 5x+13=43-2x equation:


Simplifying
5x + 13 = 43 + -2x

Reorder the terms:
13 + 5x = 43 + -2x

Solving
13 + 5x = 43 + -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 = 43 + -2x + 2x

Combine like terms: 5x + 2x = 7x
13 + 7x = 43 + -2x + 2x

Combine like terms: -2x + 2x = 0
13 + 7x = 43 + 0
13 + 7x = 43

Add '-13' to each side of the equation.
13 + -13 + 7x = 43 + -13

Combine like terms: 13 + -13 = 0
0 + 7x = 43 + -13
7x = 43 + -13

Combine like terms: 43 + -13 = 30
7x = 30

Divide each side by '7'.
x = 4.285714286

Simplifying
x = 4.285714286

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