5x+17=12x-14

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Solution for 5x+17=12x-14 equation:


Simplifying
5x + 17 = 12x + -14

Reorder the terms:
17 + 5x = 12x + -14

Reorder the terms:
17 + 5x = -14 + 12x

Solving
17 + 5x = -14 + 12x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12x' to each side of the equation.
17 + 5x + -12x = -14 + 12x + -12x

Combine like terms: 5x + -12x = -7x
17 + -7x = -14 + 12x + -12x

Combine like terms: 12x + -12x = 0
17 + -7x = -14 + 0
17 + -7x = -14

Add '-17' to each side of the equation.
17 + -17 + -7x = -14 + -17

Combine like terms: 17 + -17 = 0
0 + -7x = -14 + -17
-7x = -14 + -17

Combine like terms: -14 + -17 = -31
-7x = -31

Divide each side by '-7'.
x = 4.428571429

Simplifying
x = 4.428571429

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