12(x-3)=8(x-3)

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Solution for 12(x-3)=8(x-3) equation:


Simplifying
12(x + -3) = 8(x + -3)

Reorder the terms:
12(-3 + x) = 8(x + -3)
(-3 * 12 + x * 12) = 8(x + -3)
(-36 + 12x) = 8(x + -3)

Reorder the terms:
-36 + 12x = 8(-3 + x)
-36 + 12x = (-3 * 8 + x * 8)
-36 + 12x = (-24 + 8x)

Solving
-36 + 12x = -24 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-36 + 12x + -8x = -24 + 8x + -8x

Combine like terms: 12x + -8x = 4x
-36 + 4x = -24 + 8x + -8x

Combine like terms: 8x + -8x = 0
-36 + 4x = -24 + 0
-36 + 4x = -24

Add '36' to each side of the equation.
-36 + 36 + 4x = -24 + 36

Combine like terms: -36 + 36 = 0
0 + 4x = -24 + 36
4x = -24 + 36

Combine like terms: -24 + 36 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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