Question

How do you solve `5(x+4)=4x+15`?

Answer 1

`x = -5`

Explanation:

First, use the distributive property shown below to simplify `5(x+4)`:

Following this image, we know that:
`5(x+4) = (5 * x) + (5 * 4) = 5x + 20`

Put that back into the equation:
`5x + 20 = 4x + 15`

Now subtract `color(blue)(4x)` from both sides of the equation:
`5x + 20 quadcolor(blue)(-quad4x) = 15 quadcolor(blue)(-quad15)`

`x + 20 = 15`

Now subtract `color(blue)20` from both sides of the equation:
`x + 20 quadcolor(blue)(-quad20) = 15 quadcolor(blue)(-quad20)`

`x = -5`

Hope this helps!