Solve x+4/x=8/5

$$\frac { x + 4 } { x } = \frac { 8 } { 5 }$$

Solve for x

$$x = \frac{20}{3} = 6\frac{2}{3} \approx 6.666666667$$

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 5x, the least common multiple of x,5.

$$5\left(x+4\right)=8x$$

Use the distributive property to multiply 5 by x+4.

$$5x+20=8x$$

Subtract 8x from both sides.

$$5x+20-8x=0$$

Combine 5x and -8x to get -3x.

$$-3x+20=0$$

Subtract 20 from both sides. Anything subtracted from zero gives its negation.

$$-3x=-20$$

Divide both sides by -3.

$$x=\frac{-20}{-3}$$

Fraction \frac{-20}{-3} can be simplified to \frac{20}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{20}{3}$$