Mark B. answered • 03/06/19
PhD Candidate and Math Tutor with 20 Years of Experience: All levels.
Hi Asmita,
So, the first thing we want to do is to create an expression and equation which accurately conveys the information given in the problem, okay?
9 + x = 2x + 3
Now, we can solve for x.
9 + x = 2x + 3 <---Subtract 3 from both sides of the equation
6 + x = 2x <---Subtract x from both sides of the equation leaving x to itself.
6 = x <---Solved for x
Finally, we want to always check our work. To do this, we can substitute the value of 6 for x in our original equation.
9 + 6 = 2(6) + 3
15 = 12 + 3
15 = 15
The answer verifies and is therefore valid. I hope this helps and that you have a great rest of the week, Asmita. Should you wish to leave feedback, seek further clarity to this solution, or have any question related to the solution, please just click the "Add Comment" prompt and type your information in the dialogue box which will then appear immediately beneath this solution. Best!
Asmita K.
Can the equation be from one of this 2x = 3(x+9) Or x+9=3(2x)03/06/19
Mark B.
Asmita K. Upon looking a bit closer to this problem, I believe the second equation you present which is x + 9 = 3(2x) is the correct equation to start the problem with. I am certain you can solve from here. My deepest apologies.03/07/19
Asmita K.
Thanks, I cross checked as per your suggestion to check if the answer is right and the second equation seems to be right03/07/19
Mark B.
Asmita K. I am glad it worked out for you. Again, my most sincere and deepest apologies.03/07/19
Asmita K.
But the question says result is 3 times more than twice the number after adding 9 to the number03/06/19