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8\left(x+4\right)=\frac{1}{3}\times 6
Multiply both sides by 6.
8x+32=\frac{1}{3}\times 6
Use the distributive property to multiply 8 by x+4.
8x+32=\frac{6}{3}
Multiply \frac{1}{3} and 6 to get \frac{6}{3}.
8x+32=2
Divide 6 by 3 to get 2.
8x=2-32
Subtract 32 from both sides.
8x=-30
Subtract 32 from 2 to get -30.
x=\frac{-30}{8}
Divide both sides by 8.
x=-\frac{15}{4}
Reduce the fraction \frac{-30}{8} to lowest terms by extracting and canceling out 2.