Question

(02.01) Solve for x: 3 over 4 x + 5 over 8 = 4x x = __________________ Write your answer as a fraction in simplest form. Use the "/" symbol for the fraction bar. Answer for Blank 1:

Answer 1

x =
`(5)/(26)`

Explanation:

Given equation:

`(3)/(4)x + (5)/(8) = 4x`

`(3(2)x + 5)/(8) = 4x` ∵taking GCF 8

`(8 (6x + 5) )/(8)` = 4x × 8

6x + 5 = 32x ⇒ 5 = 32x - 6x ⇒ 5 = 26x ⇒ x =
`(5)/(26)`