Question

Solve each equation.
X+7/3=4

Answer 1

`x = (5)/(3) \\\\`

Explanation:

To solve this problem, we need to go over an important fact:

To solve equations, we need to understand that it's like a see-saw. If you put something on one side of the see-saw, it will tip over. To preserve balance on the see-saw, you would but the same weight on the other side too. The same goes for equations. Whatever you do to one side of the equation, you do on the other.

So, we have the equation:

`x + (7)/(3) = 4`

We want to solve for the variable x. Or, we want to get x by itself on one side of the equation, preferably the left because it's already there. This means we get rid of the
`(7)/(3)` term. To do that, we subtract
`(7)/(3)` on the left side. But, we don't want the "see-saw" to tip over. So, we subtract
`(7)/(3)` on the right side, like so:

`x + (7)/(3) - (7)/(3) = 4 - (7)/(3)`

`(7)/(3) - (7)/(3)` is 0. But,
`4 - (7)/(3)` is trickier. We use common denominators to help us:

`x = (12)/(3) - (7)/(3)`

Simplify, and we get:

`x = (5)/(3) \\\\`

Answer 2

-(7/3) from each side x= 5/3