2(3x-3)=3(4x+4)

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Solution for 2(3x-3)=3(4x+4) equation:


Simplifying
2(3x + -3) = 3(4x + 4)

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

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

Solving
-6 + 6x = 12 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-6 + 6x + -12x = 12 + 12x + -12x

Combine like terms: 6x + -12x = -6x
-6 + -6x = 12 + 12x + -12x

Combine like terms: 12x + -12x = 0
-6 + -6x = 12 + 0
-6 + -6x = 12

Add '6' to each side of the equation.
-6 + 6 + -6x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -6x = 12 + 6
-6x = 12 + 6

Combine like terms: 12 + 6 = 18
-6x = 18

Divide each side by '-6'.
x = -3

Simplifying
x = -3

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