12(x-9)=3(x+16)

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Solution for 12(x-9)=3(x+16) equation:


Simplifying
12(x + -9) = 3(x + 16)

Reorder the terms:
12(-9 + x) = 3(x + 16)
(-9 * 12 + x * 12) = 3(x + 16)
(-108 + 12x) = 3(x + 16)

Reorder the terms:
-108 + 12x = 3(16 + x)
-108 + 12x = (16 * 3 + x * 3)
-108 + 12x = (48 + 3x)

Solving
-108 + 12x = 48 + 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.
-108 + 12x + -3x = 48 + 3x + -3x

Combine like terms: 12x + -3x = 9x
-108 + 9x = 48 + 3x + -3x

Combine like terms: 3x + -3x = 0
-108 + 9x = 48 + 0
-108 + 9x = 48

Add '108' to each side of the equation.
-108 + 108 + 9x = 48 + 108

Combine like terms: -108 + 108 = 0
0 + 9x = 48 + 108
9x = 48 + 108

Combine like terms: 48 + 108 = 156
9x = 156

Divide each side by '9'.
x = 17.33333333

Simplifying
x = 17.33333333

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