2(3x-3)-3(4x-7)=12

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Solution for 2(3x-3)-3(4x-7)=12 equation: 


Simplifying
2(3x + -3) + -3(4x + -7) = 12

Reorder the terms:
2(-3 + 3x) + -3(4x + -7) = 12
(-3 * 2 + 3x * 2) + -3(4x + -7) = 12
(-6 + 6x) + -3(4x + -7) = 12

Reorder the terms:
-6 + 6x + -3(-7 + 4x) = 12
-6 + 6x + (-7 * -3 + 4x * -3) = 12
-6 + 6x + (21 + -12x) = 12

Reorder the terms:
-6 + 21 + 6x + -12x = 12

Combine like terms: -6 + 21 = 15
15 + 6x + -12x = 12

Combine like terms: 6x + -12x = -6x
15 + -6x = 12

Solving
15 + -6x = 12

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + -6x = 12 + -15

Combine like terms: 15 + -15 = 0
0 + -6x = 12 + -15
-6x = 12 + -15

Combine like terms: 12 + -15 = -3
-6x = -3

Divide each side by '-6'.
x = 0.5

Simplifying
x = 0.5

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