Question

How do you solve `3x + 34= 12x - 47`?

Answer 1

`x=9`

Explanation:

Simplify the equation as follows:

`3x+34=12x-47`

Subtracting `3x` both sides we get:
`(3x+34)-3x=(12x-47)-3x`
`3x-3x+34=12x-3x-47`
`34=9x-47`

Make `x` the subject of the equation by adding 47 both sides
`34+37= (9x-47)+47`
`71=9x`
`81/9=x`
`9=x`
Therefore `x=9`

Lets check the answer:
`(3xx9)+34 = (12xx9)-47`
`27+34=108-47`
`61=61`