2(3x-3)-3(4x+2)=6

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Solution for 2(3x-3)-3(4x+2)=6 equation:


Simplifying
2(3x + -3) + -3(4x + 2) = 6

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

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

Reorder the terms:
-6 + -6 + 6x + -12x = 6

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

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

Solving
-12 + -6x = 6

Solving for variable 'x'.

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

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

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

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

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

Simplifying
x = -3

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