Solve for x
x=\frac{7}{15}\approx 0.466666667
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9\left(x+7\right)=8\left(3x+7\right)
Variable x cannot be equal to -\frac{7}{3} since division by zero is not defined. Multiply both sides of the equation by 9\left(3x+7\right), the least common multiple of 3x+7,9.
9x+63=8\left(3x+7\right)
Use the distributive property to multiply 9 by x+7.
9x+63=24x+56
Use the distributive property to multiply 8 by 3x+7.
9x+63-24x=56
Subtract 24x from both sides.
-15x+63=56
Combine 9x and -24x to get -15x.
-15x=56-63
Subtract 63 from both sides.
-15x=-7
Subtract 63 from 56 to get -7.
x=\frac{-7}{-15}
Divide both sides by -15.
x=\frac{7}{15}
Fraction \frac{-7}{-15} can be simplified to \frac{7}{15} by removing the negative sign from both the numerator and the denominator.
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