2x+5=7-3x+13

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Solution for 2x+5=7-3x+13 equation:


Simplifying
2x + 5 = 7 + -3x + 13

Reorder the terms:
5 + 2x = 7 + -3x + 13

Reorder the terms:
5 + 2x = 7 + 13 + -3x

Combine like terms: 7 + 13 = 20
5 + 2x = 20 + -3x

Solving
5 + 2x = 20 + -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.
5 + 2x + 3x = 20 + -3x + 3x

Combine like terms: 2x + 3x = 5x
5 + 5x = 20 + -3x + 3x

Combine like terms: -3x + 3x = 0
5 + 5x = 20 + 0
5 + 5x = 20

Add '-5' to each side of the equation.
5 + -5 + 5x = 20 + -5

Combine like terms: 5 + -5 = 0
0 + 5x = 20 + -5
5x = 20 + -5

Combine like terms: 20 + -5 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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