Question

At practice, Diego does twice as many push-ups as Noah, and also 40 jumping jacks. He does 62 exercises in total. The equation 2x + 40 = 62 describes this situation. What is the value of x?

Answer 1

Answer: x = 11

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Step-by-step 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

• multiply by 2
• add 40

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.

Answer 2

The value of x would be 11.

Step-by-step explanation:

We can simply just isolate x in the equation to solve:

2x + 40 = 62

(Subtract 40 from both sides) 2x = 22

(Divide each side by 2) x = 11

Hope this helps! :)