3x+5=2x-17

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Solution for 3x+5=2x-17 equation:


Simplifying
3x + 5 = 2x + -17

Reorder the terms:
5 + 3x = 2x + -17

Reorder the terms:
5 + 3x = -17 + 2x

Solving
5 + 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.
5 + 3x + -2x = -17 + 2x + -2x

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

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

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

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

Combine like terms: -17 + -5 = -22
1x = -22

Divide each side by '1'.
x = -22

Simplifying
x = -22

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