Solve 5/x+8/4=5

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

Solve for x

$$x = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

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 4x, the least common multiple of x,4.

$$4\times 5+x\times 8=20x$$

Multiply 4 and 5 to get 20.

$$20+x\times 8=20x$$

Subtract 20x from both sides.

$$20+x\times 8-20x=0$$

Combine x\times 8 and -20x to get -12x.

$$20-12x=0$$

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

$$-12x=-20$$

Divide both sides by -12.

$$x=\frac{-20}{-12}$$

Reduce the fraction \frac{-20}{-12} to lowest terms by extracting and canceling out -4.

$$x=\frac{5}{3}$$