(5x-17)=(3x+1)

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Solution for (5x-17)=(3x+1) equation:


Simplifying
(5x + -17) = (3x + 1)

Reorder the terms:
(-17 + 5x) = (3x + 1)

Remove parenthesis around (-17 + 5x)
-17 + 5x = (3x + 1)

Reorder the terms:
-17 + 5x = (1 + 3x)

Remove parenthesis around (1 + 3x)
-17 + 5x = 1 + 3x

Solving
-17 + 5x = 1 + 3x

Solving for variable 'x'.

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

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

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

Combine like terms: 3x + -3x = 0
-17 + 2x = 1 + 0
-17 + 2x = 1

Add '17' to each side of the equation.
-17 + 17 + 2x = 1 + 17

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

Combine like terms: 1 + 17 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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