x+17=5x-17

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


Simplifying
x + 17 = 5x + -17

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

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

Solving
17 + x = -17 + 5x

Solving for variable 'x'.

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

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

Combine like terms: x + -5x = -4x
17 + -4x = -17 + 5x + -5x

Combine like terms: 5x + -5x = 0
17 + -4x = -17 + 0
17 + -4x = -17

Add '-17' to each side of the equation.
17 + -17 + -4x = -17 + -17

Combine like terms: 17 + -17 = 0
0 + -4x = -17 + -17
-4x = -17 + -17

Combine like terms: -17 + -17 = -34
-4x = -34

Divide each side by '-4'.
x = 8.5

Simplifying
x = 8.5

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