<h3>
Answer: x = 11</h3>
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Explanation:
If we knew the value of x, we would use PEMDAS to evaluate 2x+40 to get some single number value. For instance, if x = 4, then 2x+40 becomes 2(4)+40 which evaluates to 48 when you use PEMDAS.
However, we don't know the value of x. To find x, we follow PEMDAS in reverse to undo everything happening to x.
Note the order in which stuff is happening to x
To undo this, we follow this process in reverse. So we need to undo the "add 40" part first, which was the last thing done. That means we'll subtract 40 from both sides
2x+40 = 62
2x+40-40 = 62-40
2x = 22
Then we undo the "multiply by 2" part. We'll divide both sides by 2
2x = 22
2x/2 = 22/2
x = 11
Let's check the answer.
2x+40 = 62
2(11)+40 = 62 ... x replaced with 11
22+40 = 62
62 = 62
Since we get the same thing on both sides, we get a true equation and this confirms we have the correct x value.
