5x+17=2x-13

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


Simplifying
5x + 17 = 2x + -13

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

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

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

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

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

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

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

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

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

Simplifying
x = -10

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