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

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


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

Reorder the terms:
3(-3 + x) = 2(6 + -2x)
(-3 * 3 + x * 3) = 2(6 + -2x)
(-9 + 3x) = 2(6 + -2x)
-9 + 3x = (6 * 2 + -2x * 2)
-9 + 3x = (12 + -4x)

Solving
-9 + 3x = 12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-9 + 3x + 4x = 12 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-9 + 7x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
-9 + 7x = 12 + 0
-9 + 7x = 12

Add '9' to each side of the equation.
-9 + 9 + 7x = 12 + 9

Combine like terms: -9 + 9 = 0
0 + 7x = 12 + 9
7x = 12 + 9

Combine like terms: 12 + 9 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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