Question

How do you solve `7/5=(2x+4)/9`?

Answer 1

`x = 4.3`

Explanation:

`7/5 = (2x+4)/9`

To solve this, we first cross multiply:
`7*9 = 5(2x+4)`

Simplify the left side and distribute the right side:
`63 = 10x + 20`

Subtract `color(blue)20` from both sides of the equation:
`63 quadcolor(blue)(-quad20) = 10x + 20 quadcolor(blue)(-quad20)`

`43 = 10x`

Now divide both sides by `color(blue)10`:
`43/color(blue)10 = (10x)/color(blue)10`

`4.3 = x`

Therefore, `x = 4.3`

Hope this helps!