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

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


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

Reorder the terms:
3(-2 + x) + 2x = 17 + -1x
(-2 * 3 + x * 3) + 2x = 17 + -1x
(-6 + 3x) + 2x = 17 + -1x

Combine like terms: 3x + 2x = 5x
-6 + 5x = 17 + -1x

Solving
-6 + 5x = 17 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 5x + x = 17 + -1x + x

Combine like terms: 5x + x = 6x
-6 + 6x = 17 + -1x + x

Combine like terms: -1x + x = 0
-6 + 6x = 17 + 0
-6 + 6x = 17

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

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

Combine like terms: 17 + 6 = 23
6x = 23

Divide each side by '6'.
x = 3.833333333

Simplifying
x = 3.833333333

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