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

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


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

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

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

Solving
-6 + 6x = 9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-6 + 6x + -3x = 9 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-6 + 3x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 3x = 9 + 0
-6 + 3x = 9

Add '6' to each side of the equation.
-6 + 6 + 3x = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 9 + 6
3x = 9 + 6

Combine like terms: 9 + 6 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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