2x+17=3x-2

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


Simplifying
2x + 17 = 3x + -2

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

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

Solving
17 + 2x = -2 + 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 + 2x + -3x = -2 + 3x + -3x

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

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

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

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

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

Divide each side by '-1'.
x = 19

Simplifying
x = 19

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