Solve for x
x = -\frac{5}{3} = -1\frac{2}{3} \approx -1.666666667
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7+3\left(x+4\right)\times 2=3\times 7
Variable x cannot be equal to -4 since division by zero is not defined. Multiply both sides of the equation by 3\left(x+4\right), the least common multiple of 3x+12,x+4.
7+6\left(x+4\right)=3\times 7
Multiply 3 and 2 to get 6.
7+6x+24=3\times 7
Use the distributive property to multiply 6 by x+4.
31+6x=3\times 7
Add 7 and 24 to get 31.
31+6x=21
Multiply 3 and 7 to get 21.
6x=21-31
Subtract 31 from both sides.
6x=-10
Subtract 31 from 21 to get -10.
x=\frac{-10}{6}
Divide both sides by 6.
x=-\frac{5}{3}
Reduce the fraction \frac{-10}{6} to lowest terms by extracting and canceling out 2.
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