Question

Solve the following equations and check your solution using substitution.

5−x=−2

(BTW can you show the working out for the question)

Answer 1

`x=7`

Explanation:

We can add the same quantity to both sides of the equations, and still have an equivalent equation. Let's add
`x+2` to both sides, then sum like terms

`5-x +x+2 = -2 +x+2\\5+2 = x\\7=x`

(this is the rule that allows us to move items from one side do the other of the equal sign by changing its sign)

At this point we have a solution, let's replace it to verify

`5-(7) = -2\\-2=-2`