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

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Solution for 9(x-4)=3(x+12) equation:


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

Reorder the terms:
9(-4 + x) = 3(x + 12)
(-4 * 9 + x * 9) = 3(x + 12)
(-36 + 9x) = 3(x + 12)

Reorder the terms:
-36 + 9x = 3(12 + x)
-36 + 9x = (12 * 3 + x * 3)
-36 + 9x = (36 + 3x)

Solving
-36 + 9x = 36 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-36 + 9x + -3x = 36 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-36 + 6x = 36 + 0
-36 + 6x = 36

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

Combine like terms: -36 + 36 = 0
0 + 6x = 36 + 36
6x = 36 + 36

Combine like terms: 36 + 36 = 72
6x = 72

Divide each side by '6'.
x = 12

Simplifying
x = 12

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