4x+17=14x-83

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Solution for 4x+17=14x-83 equation:


Simplifying
4x + 17 = 14x + -83

Reorder the terms:
17 + 4x = 14x + -83

Reorder the terms:
17 + 4x = -83 + 14x

Solving
17 + 4x = -83 + 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 + 4x + -14x = -83 + 14x + -14x

Combine like terms: 4x + -14x = -10x
17 + -10x = -83 + 14x + -14x

Combine like terms: 14x + -14x = 0
17 + -10x = -83 + 0
17 + -10x = -83

Add '-17' to each side of the equation.
17 + -17 + -10x = -83 + -17

Combine like terms: 17 + -17 = 0
0 + -10x = -83 + -17
-10x = -83 + -17

Combine like terms: -83 + -17 = -100
-10x = -100

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

Simplifying
x = 10

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