Question

How do you solve this question? With a step by step explanation please!

Answer 1

`(1)/(4)x + 2 = -3 + (1)/(2) x`

First, we will take
`(1)/(4)`x to the right hand side of the equation, and -3 to the left hand side. In doing so, their signs will change (that is, they will be subtracted from the side that they are moved to).

2 -(-3) =
`(1)/(2) x - (1)/(4) x`

2 + 3 =
`(1)/(4)`x

`(1)/(4) x = 5`

Now, we will multiply both sides by 4, so as to find x.

`(1)/(4) x` x 4 = 5 x 4

x = 20

Therefore, x = 20.