Question

What are the steps to solve for: 1/5(x+5)=1/4(x-3)+1

Answer 1

Step 1. Simplify
`(1)/(5) (x+5)` to
`(x+5)/(5)`


`(x+5)/(5) = (1)/(4) (x-3)+1`

Step 2. Simplify
`(x+5)/(5)` to
`1+ (x)/(5)`


`1+ (x)/(5) = (1)/(4) (x-3)+1`

Step 3. Simplify
`(1)/(4) (x-3)` to
`(x-3)/(4)`


`1+ (x)/(5) = (x-3)/(4) +1`

Step 4. Cancel
`1` on both sides


`(x)/(5) = (x-3)/(4)`

Step 5. Multiply both sides by
`20` (the LCM of
`5,4`)


`4x=5(x-3)`

Step 6. Expand


`4x=5x-15`

Step 7. Subtract
`5x` from both sides


`4x-5x=-15`

Step 8. Simplify
`4x-5x` to
`-x`


`-x=-15`

Step 9. Multiply both sides by
`-1`


`x=15`

Done! :) Hope this helps! :)