3x+17=14x-5

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Solution for 3x+17=14x-5 equation:


Simplifying
3x + 17 = 14x + -5

Reorder the terms:
17 + 3x = 14x + -5

Reorder the terms:
17 + 3x = -5 + 14x

Solving
17 + 3x = -5 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
17 + 3x + -14x = -5 + 14x + -14x

Combine like terms: 3x + -14x = -11x
17 + -11x = -5 + 14x + -14x

Combine like terms: 14x + -14x = 0
17 + -11x = -5 + 0
17 + -11x = -5

Add '-17' to each side of the equation.
17 + -17 + -11x = -5 + -17

Combine like terms: 17 + -17 = 0
0 + -11x = -5 + -17
-11x = -5 + -17

Combine like terms: -5 + -17 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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