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4\left(x-3\right)=12x-3\left(x+3\right)
Multiply both sides of the equation by 12, the least common multiple of 3,4.
4x-12=12x-3\left(x+3\right)
Use the distributive property to multiply 4 by x-3.
4x-12=12x-3x-9
Use the distributive property to multiply -3 by x+3.
4x-12=9x-9
Combine 12x and -3x to get 9x.
4x-12-9x=-9
Subtract 9x from both sides.
-5x-12=-9
Combine 4x and -9x to get -5x.
-5x=-9+12
Add 12 to both sides.
-5x=3
Add -9 and 12 to get 3.
x=\frac{3}{-5}
Divide both sides by -5.
x=-\frac{3}{5}
Fraction \frac{3}{-5} can be rewritten as -\frac{3}{5} by extracting the negative sign.