5x+13=2x-17

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Solution for 5x+13=2x-17 equation:


Simplifying
5x + 13 = 2x + -17

Reorder the terms:
13 + 5x = 2x + -17

Reorder the terms:
13 + 5x = -17 + 2x

Solving
13 + 5x = -17 + 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 = -17 + 2x + -2x

Combine like terms: 5x + -2x = 3x
13 + 3x = -17 + 2x + -2x

Combine like terms: 2x + -2x = 0
13 + 3x = -17 + 0
13 + 3x = -17

Add '-13' to each side of the equation.
13 + -13 + 3x = -17 + -13

Combine like terms: 13 + -13 = 0
0 + 3x = -17 + -13
3x = -17 + -13

Combine like terms: -17 + -13 = -30
3x = -30

Divide each side by '3'.
x = -10

Simplifying
x = -10

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