3x+17-2x=8+3x-5

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Solution for 3x+17-2x=8+3x-5 equation:


Simplifying
3x + 17 + -2x = 8 + 3x + -5

Reorder the terms:
17 + 3x + -2x = 8 + 3x + -5

Combine like terms: 3x + -2x = 1x
17 + 1x = 8 + 3x + -5

Reorder the terms:
17 + 1x = 8 + -5 + 3x

Combine like terms: 8 + -5 = 3
17 + 1x = 3 + 3x

Solving
17 + 1x = 3 + 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 + 1x + -3x = 3 + 3x + -3x

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

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

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

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

Combine like terms: 3 + -17 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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