(3X+2)+(2X-5)=17

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


Simplifying
(3X + 2) + (2X + -5) = 17

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

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

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

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

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

Combine like terms: 2 + -5 = -3
-3 + 3X + 2X = 17

Combine like terms: 3X + 2X = 5X
-3 + 5X = 17

Solving
-3 + 5X = 17

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + 3 + 5X = 17 + 3

Combine like terms: -3 + 3 = 0
0 + 5X = 17 + 3
5X = 17 + 3

Combine like terms: 17 + 3 = 20
5X = 20

Divide each side by '5'.
X = 4

Simplifying
X = 4

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