Solve 92/3=13+5x/13

$$9 \frac{ 2 }{ 3 } = 13+ \frac{ 5x }{ 13 }$$

Solve for x

$$x = -\frac{26}{3} = -8\frac{2}{3} \approx -8.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 39, the least common multiple of 3,13.

$$13\left(9\times 3+2\right)=507+3\times 5x$$

Multiply 9 and 3 to get 27.

$$13\left(27+2\right)=507+3\times 5x$$

Add 27 and 2 to get 29.

$$13\times 29=507+3\times 5x$$

Multiply 13 and 29 to get 377.

$$377=507+3\times 5x$$

Multiply 3 and 5 to get 15.

$$377=507+15x$$

Swap sides so that all variable terms are on the left hand side.

$$507+15x=377$$

Subtract 507 from both sides.

$$15x=377-507$$

Subtract 507 from 377 to get -130.

$$15x=-130$$

Divide both sides by 15.

$$x=\frac{-130}{15}$$

Reduce the fraction \frac{-130}{15} to lowest terms by extracting and canceling out 5.

$$x=-\frac{26}{3}$$