5x+17=2x-10

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Solution for 5x+17=2x-10 equation:


Simplifying
5x + 17 = 2x + -10

Reorder the terms:
17 + 5x = 2x + -10

Reorder the terms:
17 + 5x = -10 + 2x

Solving
17 + 5x = -10 + 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 = -10 + 2x + -2x

Combine like terms: 5x + -2x = 3x
17 + 3x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
17 + 3x = -10 + 0
17 + 3x = -10

Add '-17' to each side of the equation.
17 + -17 + 3x = -10 + -17

Combine like terms: 17 + -17 = 0
0 + 3x = -10 + -17
3x = -10 + -17

Combine like terms: -10 + -17 = -27
3x = -27

Divide each side by '3'.
x = -9

Simplifying
x = -9

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