Question

To solve the equation 2x - 6 = 30 by balancing, what would be step?

Answer 1

Given the equation

`2x-6=30`

To solve the equation means to determine the value of x, so your objective will be to isolate the x term in one side of the equal sign.

To do this using the balancing method, you have to "pass" all unrelated terms to the other side if the equal sign by performing the oposite operation.

So, first step is to pass -6 to the other side by adding it to both sides of the equation

`\begin{gathered} 2x-6+6=30+6 \\ 2x=36 \end{gathered}`

Next, the x term is being multiplied by 2, to cancel this multiplication you have to divide it by 2. And, to keep the equality valid, any operation performed in one side of the equal sing must be performed on the other side so, divide 36 by 2 too.

`\begin{gathered} (2x)/(2)=(36)/(2) \\ x=18 \end{gathered}`