Question

five added to twice Erik's age is the same as 3 times his age minus 2 how old is Erik?

Answer 1

Let his age be x.
Could you write the equation?

Answer 2

no that is what i need help on

Answer 3

If Eric's age is x, what is "twice Eric's age?"

Answer 4

okay. 5 + 2x because you add five to twice his age. Based on that do you think you can do the second part

Answer 5

so its 5+ 2x =3

Answer 6

Not quite. What is Eric's age minus 2?

Answer 7

three times his age minus two. not just three

Answer 8

5+2x-2=3

Answer 9

5+2x will equal 3x-2
because these are each part of the two separate equations

Answer 10

To get the actual age, set them equal to each other and solve for x

Answer 11

so the equation is 5+2x=3x-2

Answer 12

Yep

Answer 13

You are going to get the 5 and --2 on one side by adding 2 to 5
the other side will have 3x-2x

Answer 14

so would you do 2x+3x then do -2+5

Answer 15

exactly

Answer 16

Wait, I shouldn't have said exactly. I'll do a drawing to make it more clear,

Answer 17

don't you box in the virable and turn 5 into a -5

Answer 18

Nope. The main goal here is to isolate x and you can do that by moving all of the xs to the right. The five will not move at all and only gets added to.

Answer 19

Close the question when you are done @jalsto6761

Answer 20

If you believe x=7 may be correct, then please check your work thru substitution.

The problem states: "five added to twice Erik's age is the same as 3 times his age minus 2 how old is Erik?"
What is twice erik's age?
What is five added to twice Eric's age?

What is 3 times Eric's age?
What is 3 times his age, minus 2?

Make the appropriate substitutions in the pertinent equation. is the equation now true or false?

Answer 21

This is correct right? I didn't mess up somewhere? @mathmale