12(x-3)=(x+4)6+3x

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Solution for 12(x-3)=(x+4)6+3x equation: 


Simplifying
12(x + -3) = (x + 4) * 6 + 3x

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

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

Reorder the terms for easier multiplication:
-36 + 12x = 6(4 + x) + 3x
-36 + 12x = (4 * 6 + x * 6) + 3x
-36 + 12x = (24 + 6x) + 3x

Combine like terms: 6x + 3x = 9x
-36 + 12x = 24 + 9x

Solving
-36 + 12x = 24 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-36 + 12x + -9x = 24 + 9x + -9x

Combine like terms: 12x + -9x = 3x
-36 + 3x = 24 + 9x + -9x

Combine like terms: 9x + -9x = 0
-36 + 3x = 24 + 0
-36 + 3x = 24

Add '36' to each side of the equation.
-36 + 36 + 3x = 24 + 36

Combine like terms: -36 + 36 = 0
0 + 3x = 24 + 36
3x = 24 + 36

Combine like terms: 24 + 36 = 60
3x = 60

Divide each side by '3'.
x = 20

Simplifying
x = 20

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