(3x-5)=(x-17)

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Solution for (3x-5)=(x-17) equation:


Simplifying
(3x + -5) = (x + -17)

Reorder the terms:
(-5 + 3x) = (x + -17)

Remove parenthesis around (-5 + 3x)
-5 + 3x = (x + -17)

Reorder the terms:
-5 + 3x = (-17 + x)

Remove parenthesis around (-17 + x)
-5 + 3x = -17 + x

Solving
-5 + 3x = -17 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-5 + 3x + -1x = -17 + x + -1x

Combine like terms: 3x + -1x = 2x
-5 + 2x = -17 + x + -1x

Combine like terms: x + -1x = 0
-5 + 2x = -17 + 0
-5 + 2x = -17

Add '5' to each side of the equation.
-5 + 5 + 2x = -17 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = -17 + 5
2x = -17 + 5

Combine like terms: -17 + 5 = -12
2x = -12

Divide each side by '2'.
x = -6

Simplifying
x = -6

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