Question

Hi! I am doing substitution on a problem and cannot seem to get them equal. Substitute x = 4 into the equation 2x + 3x + 2= 2(x+2)+2x+2

Answer 1

Given the below equation;

`2x+3x+2=2(x+2)+2x+2`

Let's go ahead and substitute x = 4 into both sides of the equation;

`\begin{gathered} 2(4)+3(4)+2=2(4+2)+2(4)+2 \\ 2(4)+3(4)+2=2(6)+2(4)+2 \end{gathered}`

Using PEMDAS, our 1st step will be to take care of only items in parentheses. So, if we do that to the above equation, we'll have the below equation;

`8+12+2=12+8+2`

Let's go ahead and add up, we'll have;

`22=22`

Therefore, both sides of the given equation are equal.