(3x-5)+(2x+1)+x=17

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Solution for (3x-5)+(2x+1)+x=17 equation:


Simplifying
(3x + -5) + (2x + 1) + x = 17

Reorder the terms:
(-5 + 3x) + (2x + 1) + x = 17

Remove parenthesis around (-5 + 3x)
-5 + 3x + (2x + 1) + x = 17

Reorder the terms:
-5 + 3x + (1 + 2x) + x = 17

Remove parenthesis around (1 + 2x)
-5 + 3x + 1 + 2x + x = 17

Reorder the terms:
-5 + 1 + 3x + 2x + x = 17

Combine like terms: -5 + 1 = -4
-4 + 3x + 2x + x = 17

Combine like terms: 3x + 2x = 5x
-4 + 5x + x = 17

Combine like terms: 5x + x = 6x
-4 + 6x = 17

Solving
-4 + 6x = 17

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 6x = 17 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = 17 + 4
6x = 17 + 4

Combine like terms: 17 + 4 = 21
6x = 21

Divide each side by '6'.
x = 3.5

Simplifying
x = 3.5

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