Question

What is the ultimate goal when solving equations? What do you want your final answer to look like?

Answer 1

`\huge\boxed{\text{To get x on one side of the equation:} \ \ x = ...}`

Explanation:

When we solve for an equation, our goal is to find the value of the variable. Any variable can be used, but for the time being let’s assume we use
`x`.

We can algebraeically solve equations until we get the value of x - in which we will have x equal to something.

Say we have the equation
`5x+5=20`. Our goal is to find the value of
`x`. We can do this by getting x isolated on one side so we have something equal to x.

We can subtract 5 from both sides and divide both sides by 5.

`5x=15\\\\x=3`

We now know the value of
`x` since it’s on one side of the equation.

Hope this helped!