Question

How do you solve `0.5x+63=2x-42`?

Answer 1

First, make the decimal into fraction
`5/10x+63=2x-42`
Transfer all the variables to one side and all the numbers to the other
`5/10x-2x=-63-42`
Remember,
`2=2/1,4/2,6/3,8/4,10/5.......(20)/10`
So, we can write it as
`(5x-20x)/10=-105`
`-(15x)/10=-105`
Multiply both sides by 10
`(-15x)/cancel10 cancel 10 =-105xx10`
`cancel-15x=cancel-1050`
`15x=1050`
`x=1050/15`
`x=70`