Question

Solve for x .........

Answer 1

x = 29/20 or x = 1.45

Explanation:

6/x + 5/(4x) = 5

Multiply all terms by x and cancel.

6 + 5/4 = 5x

Combine terms on the left side of the equation.

29/4 = 5x

Divide both sides by 5.

29/4/5 = (5x)/5

29/20 = x

Answer 2

x = 29/20

Explanation:

`(6)/(x) + (5)/(4x) = 5`

Multiply through by the LCM

The LCM of x and 4x is 4x

So we have

`{4x} * (6)/(x) + {4x} * (5)/(4x) = 5 * {4x} \\ \\ 24 + 5 = 20x \\ \\ 20x = 29 \\ \\ x = (29)/(20) \: \: \: or \: \: \: 1 (9)/(20)`

Hope this helps you