Question

8x/10x-2 equals 5x+3/7x solve for x

Answer 1

x =
`(1)/(3)` & 3

Explanation:

`(8x)/(10x-2)` =
`(5x+3)/(7x)`

Cross multiply:

`(8x)/(10x-2)` =
`(5x+3)/(7x)` ⇒ (8x)(7x) = (5x+3)(10x-2)

Simplify both sides:

(8x)(7x) = (5x+3)(10x-2) ⇒ 56x² = 50x²+20x-6

Set equation equal to 0:

56x² = 50x²+20x-6 ⇒ 0 = -6x²+20x-6

Factor the trinomial:

0 = -6x²+20x-6 = (-6x+2)(x-3)

Solve for X:

-6x+2 = 0

-6x = -2

x =
`(1)/(3)`;

x-3 = 0

x = 3;

x =
`(1)/(3)`, 3