Question

If `5x-17+3x=3(5-2x)` then what is the value of `x`?

Answer 1

`16/7` or `2 2/7`

Explanation:

start off by writing
`5x-17+3x=3(5-2x)`

distribute
`5x-17+3x=15-6x`

combine like terms
`8x-17=15-6x`

add `17` to both sides to get `8x` on its own side
`8x=32-6x`

add `6x` to both sides
`14x=32`

divide both sides by `14`
`x=32/14`
(simplified to `16/7` or `2 2/7`)