Question

3/4x -1/3 =5 What is x?

Answer 1

`x = (64)/(9)`

Explanation:

Solve for `x`
`(3/4)x - (1/3) = 5`

1) Start by clearing the first fraction by multiplying all the terms on both sides by 4 and letting that denominator cancel.
After you have multiplied and canceled, you will get this:
`3x - (4/3) = 20`

2) Next, clear the other fraction by multiplying all the terms on both sides by 3 and letting that denominator cancel.
After you have multiplied and canceled, you will have this:
`9x - 4 = 60`

3) Add 4 to both sides to isolate the `9x` term
`9x = 64`

4) Divide both sides by 9 to isolate `x`
`x = (64)/(9)` <-- answer
........................

Check

1) Sub in `(64)/(9)` for `x` in the original equation

`(3/4)x - (1/3) = 5`

`(3/4)((64)/(9))- (1/3)` should still equal 5

2) Reduce the fractions to lowest terms

`(cancel3^1/(cancel4^1))((cancel64^16)/(cancel9^3))- (1/3)`

`(16)/(3) - (1)/(3)`

3) Subtract the fractions.
They already have a common denominator.

`(15)/(3)`
This should still equal 5 after you change it to a whole number

4) 5 does equal 5
Check!