12(x-1)=3(2x-3)

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Solution for 12(x-1)=3(2x-3) equation:


Simplifying
12(x + -1) = 3(2x + -3)

Reorder the terms:
12(-1 + x) = 3(2x + -3)
(-1 * 12 + x * 12) = 3(2x + -3)
(-12 + 12x) = 3(2x + -3)

Reorder the terms:
-12 + 12x = 3(-3 + 2x)
-12 + 12x = (-3 * 3 + 2x * 3)
-12 + 12x = (-9 + 6x)

Solving
-12 + 12x = -9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-12 + 12x + -6x = -9 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
-12 + 6x = -9 + 0
-12 + 6x = -9

Add '12' to each side of the equation.
-12 + 12 + 6x = -9 + 12

Combine like terms: -12 + 12 = 0
0 + 6x = -9 + 12
6x = -9 + 12

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

Divide each side by '6'.
x = 0.5

Simplifying
x = 0.5

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