Question

How do you solve `100x - 200= 50x + 50`?

Answer 1

Do opposite operations of BEDMAS to isolate `x`.

Explanation:

Solving implies we find the value of the variable.

We can accomplish this by performing opposite operations of BEDMAS to the equivalent term.

`100x-200 = 50x+50`

First off, let's combine like terms. This will involve "moving" terms across the equal sign. When this happens, invert the sign.

`100x-50x = 200+50`

`50x = 250`

Now we isolate `x`.

`(50x)/50 = 250/50`

`x = 5`

We can check our work by subbing in `x=5` into the original equation.

`100x-200 = 50x+50`

`100(5)-200 = 50(5)+50`

`500-200 = 250+50`

`300 = 300`

Thus, we can conclude that `x=5`.

Hope this helps :)