(3x-2)=(2x+17)

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Solution for (3x-2)=(2x+17) equation:


Simplifying
(3x + -2) = (2x + 17)

Reorder the terms:
(-2 + 3x) = (2x + 17)

Remove parenthesis around (-2 + 3x)
-2 + 3x = (2x + 17)

Reorder the terms:
-2 + 3x = (17 + 2x)

Remove parenthesis around (17 + 2x)
-2 + 3x = 17 + 2x

Solving
-2 + 3x = 17 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2 + 3x + -2x = 17 + 2x + -2x

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

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

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

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

Combine like terms: 17 + 2 = 19
1x = 19

Divide each side by '1'.
x = 19

Simplifying
x = 19

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