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x=5\left(3x+8\right)
Variable x cannot be equal to -\frac{8}{3} since division by zero is not defined. Multiply both sides of the equation by 3x+8.
x=15x+40
Use the distributive property to multiply 5 by 3x+8.
x-15x=40
Subtract 15x from both sides.
-14x=40
Combine x and -15x to get -14x.
x=\frac{40}{-14}
Divide both sides by -14.
x=-\frac{20}{7}
Reduce the fraction \frac{40}{-14} to lowest terms by extracting and canceling out 2.