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

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


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

Reorder the terms:
-3(3 + -1x) = 5(3 + -1x) + 2
(3 * -3 + -1x * -3) = 5(3 + -1x) + 2
(-9 + 3x) = 5(3 + -1x) + 2
-9 + 3x = (3 * 5 + -1x * 5) + 2
-9 + 3x = (15 + -5x) + 2

Reorder the terms:
-9 + 3x = 15 + 2 + -5x

Combine like terms: 15 + 2 = 17
-9 + 3x = 17 + -5x

Solving
-9 + 3x = 17 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-9 + 3x + 5x = 17 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-9 + 8x = 17 + -5x + 5x

Combine like terms: -5x + 5x = 0
-9 + 8x = 17 + 0
-9 + 8x = 17

Add '9' to each side of the equation.
-9 + 9 + 8x = 17 + 9

Combine like terms: -9 + 9 = 0
0 + 8x = 17 + 9
8x = 17 + 9

Combine like terms: 17 + 9 = 26
8x = 26

Divide each side by '8'.
x = 3.25

Simplifying
x = 3.25

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