5x+17=3x-7

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Solution for 5x+17=3x-7 equation:


Simplifying
5x + 17 = 3x + -7

Reorder the terms:
17 + 5x = 3x + -7

Reorder the terms:
17 + 5x = -7 + 3x

Solving
17 + 5x = -7 + 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.
17 + 5x + -3x = -7 + 3x + -3x

Combine like terms: 5x + -3x = 2x
17 + 2x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
17 + 2x = -7 + 0
17 + 2x = -7

Add '-17' to each side of the equation.
17 + -17 + 2x = -7 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = -7 + -17
2x = -7 + -17

Combine like terms: -7 + -17 = -24
2x = -24

Divide each side by '2'.
x = -12

Simplifying
x = -12

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