Solve 13/19=5+x/x

$$\frac { 13 } { 19 } = \frac { 5 + x } { x }$$

Solve for x

$$x = -\frac{95}{6} = -15\frac{5}{6} \approx -15.833333333$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 19x, the least common multiple of 19,x.

$$13x=19\left(5+x\right)$$

Use the distributive property to multiply 19 by 5+x.

$$13x=95+19x$$

Subtract 19x from both sides.

$$13x-19x=95$$

Combine 13x and -19x to get -6x.

$$-6x=95$$

Divide both sides by -6.

$$x=\frac{95}{-6}$$

Fraction \frac{95}{-6} can be rewritten as -\frac{95}{6} by extracting the negative sign.

$$x=-\frac{95}{6}$$