2(3x-6)=12x-3

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Solution for 2(3x-6)=12x-3 equation:


Simplifying
2(3x + -6) = 12x + -3

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

Reorder the terms:
-12 + 6x = -3 + 12x

Solving
-12 + 6x = -3 + 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.
-12 + 6x + -12x = -3 + 12x + -12x

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

Combine like terms: 12x + -12x = 0
-12 + -6x = -3 + 0
-12 + -6x = -3

Add '12' to each side of the equation.
-12 + 12 + -6x = -3 + 12

Combine like terms: -12 + 12 = 0
0 + -6x = -3 + 12
-6x = -3 + 12

Combine like terms: -3 + 12 = 9
-6x = 9

Divide each side by '-6'.
x = -1.5

Simplifying
x = -1.5

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