Question

Find x for this equation
Show clear algebraic fraction

Answer 1

x =
`(8)/(3)`

Explanation:

`(2)/(5x-2)` =
`(3)/(6x+1)` ( cross- multiply )

3(5x - 2) = (2(6x + 1) ← distribute parenthesis on both sides )

15x - 6 = 12x + 2 ( subtract 12x from both sides )

3x - 6 = 2 ( add 6 to both sides )

3x = 8 ( divide both sides by 3 )

x =
`(8)/(3)`