2x+17=3x-4

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Solution for 2x+17=3x-4 equation:


Simplifying
2x + 17 = 3x + -4

Reorder the terms:
17 + 2x = 3x + -4

Reorder the terms:
17 + 2x = -4 + 3x

Solving
17 + 2x = -4 + 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 = -4 + 3x + -3x

Combine like terms: 2x + -3x = -1x
17 + -1x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
17 + -1x = -4 + 0
17 + -1x = -4

Add '-17' to each side of the equation.
17 + -17 + -1x = -4 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = -4 + -17
-1x = -4 + -17

Combine like terms: -4 + -17 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21

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