3x+13=42-2x

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Solution for 3x+13=42-2x equation:


Simplifying
3x + 13 = 42 + -2x

Reorder the terms:
13 + 3x = 42 + -2x

Solving
13 + 3x = 42 + -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 + 3x + 2x = 42 + -2x + 2x

Combine like terms: 3x + 2x = 5x
13 + 5x = 42 + -2x + 2x

Combine like terms: -2x + 2x = 0
13 + 5x = 42 + 0
13 + 5x = 42

Add '-13' to each side of the equation.
13 + -13 + 5x = 42 + -13

Combine like terms: 13 + -13 = 0
0 + 5x = 42 + -13
5x = 42 + -13

Combine like terms: 42 + -13 = 29
5x = 29

Divide each side by '5'.
x = 5.8

Simplifying
x = 5.8

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