Max was solving the equation below and isn’t sure if his answer is correct. Explain to Max how he can check his answer and then help him identify any errors he made. Provide the correct solution in your explanation.

I got the first bit right, but I do not see the mistake in his solution.
His solution is:

3x+6\8 = 7x−1\6

24/1(3x+6/8) = 24/1(7x-1/6)

3(3x+6) = 4(7x−1)

9x+18 = 28x−1

9x−9x+18 = 28x−9x−1

18 = 19x−1

18+1 = 19x−1+1

19 = 19x

1 = x

Can someone help me with this, please?

Question

Max was solving the equation below and isn’t sure if his answer is correct. Explain to Max how he can check his answer and then help him identify any errors he made. Provide the correct solution in your explanation.

I got the first bit right, but I do not see the mistake in his solution.
His solution is:

3x+6\8 =	 7x−1\6

24/1(3x+6/8) = 24/1(7x-1/6)

3(3x+6)	=	4(7x−1)

9x+18	=	28x−1

9x−9x+18	=	28x−9x−1

18	=	19x−1

18+1	=	19x−1+1

19	=	19x

1	=	x

Can someone  help me with this, please?

nnesha · Answer

3x+6\8 =	 7x−1\6
this is your question right 
you have to solve for x what would be your first step ??

nnesha · Answer

refresh page!

anonymous · Answer

should be 28x-4

anonymous · Answer

in step 4

anonymous · Answer

Thanks for both of the answers here, guys!

I will point out the mistake in my writings from what 10115658 said, and I will solve the problem myself, starting from what Nnesha said. I was only asking for help on finding his mistake, I know how to solve it.

Thanks for the help!

anonymous · Answer

great

nnesha · Answer

okay so why did he multiply both side by 24  (step 2)??

anonymous · Answer

to get rid of the fraction on both sides, 24 is a common denominator for 8 and 6

anonymous · Answer

Nnesha, for step 2? The question does it say why. It is just there.

nnesha · Answer

3x+6\8 =	 7x−1\6
 this is your question