2x+13=53-3x

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Solution for 2x+13=53-3x equation:


Simplifying
2x + 13 = 53 + -3x

Reorder the terms:
13 + 2x = 53 + -3x

Solving
13 + 2x = 53 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
13 + 2x + 3x = 53 + -3x + 3x

Combine like terms: 2x + 3x = 5x
13 + 5x = 53 + -3x + 3x

Combine like terms: -3x + 3x = 0
13 + 5x = 53 + 0
13 + 5x = 53

Add '-13' to each side of the equation.
13 + -13 + 5x = 53 + -13

Combine like terms: 13 + -13 = 0
0 + 5x = 53 + -13
5x = 53 + -13

Combine like terms: 53 + -13 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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