3(x-3)=2(6-x)+2

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Solution for 3(x-3)=2(6-x)+2 equation:


Simplifying
3(x + -3) = 2(6 + -1x) + 2

Reorder the terms:
3(-3 + x) = 2(6 + -1x) + 2
(-3 * 3 + x * 3) = 2(6 + -1x) + 2
(-9 + 3x) = 2(6 + -1x) + 2
-9 + 3x = (6 * 2 + -1x * 2) + 2
-9 + 3x = (12 + -2x) + 2

Reorder the terms:
-9 + 3x = 12 + 2 + -2x

Combine like terms: 12 + 2 = 14
-9 + 3x = 14 + -2x

Solving
-9 + 3x = 14 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-9 + 3x + 2x = 14 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-9 + 5x = 14 + -2x + 2x

Combine like terms: -2x + 2x = 0
-9 + 5x = 14 + 0
-9 + 5x = 14

Add '9' to each side of the equation.
-9 + 9 + 5x = 14 + 9

Combine like terms: -9 + 9 = 0
0 + 5x = 14 + 9
5x = 14 + 9

Combine like terms: 14 + 9 = 23
5x = 23

Divide each side by '5'.
x = 4.6

Simplifying
x = 4.6

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