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

Question

asked Dec 17, 2022 177k views

2 Answers

Xiaolei · Answer 1 · 2022-12-17T18:00:09+0000

Answer:

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