Question

If (x/3)-1 is twice as large as (x/4)-3, what is the value of x?

Answer 1

x = 30

Explanation:

The equation modelling the statement is

`(x)/(3)` - 1 = 2 (
`(x)/(4)` - 3 ) ← distribute parenthesis by 2

`(x)/(3)` - 1 =
`(x)/(2)` - 6 ( multiply through by 6 to clear the fractions )

2x - 6 = 3x - 36 ( subtract 2x from both sides )

- 6 = x - 36 ( add 36 to both sides )

30 = x

Answer 2

30

Explanation: