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

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


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

Reorder the terms:
3(-12 + 2x) = 4(x + -3)
(-12 * 3 + 2x * 3) = 4(x + -3)
(-36 + 6x) = 4(x + -3)

Reorder the terms:
-36 + 6x = 4(-3 + x)
-36 + 6x = (-3 * 4 + x * 4)
-36 + 6x = (-12 + 4x)

Solving
-36 + 6x = -12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-36 + 6x + -4x = -12 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-36 + 2x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-36 + 2x = -12 + 0
-36 + 2x = -12

Add '36' to each side of the equation.
-36 + 36 + 2x = -12 + 36

Combine like terms: -36 + 36 = 0
0 + 2x = -12 + 36
2x = -12 + 36

Combine like terms: -12 + 36 = 24
2x = 24

Divide each side by '2'.
x = 12

Simplifying
x = 12

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