SOLUTION: How would you work this problem 2x+1 over 8 epuals 3 over 7?

Question 84504: How would you work this problem 2x+1 over 8 epuals 3 over 7?
Answer by tutor_paul(519) (Show Source): You can put this solution on YOUR website!

I assume that you want to solve for x, which means getting x alone on one side of the equation. The first step is to multiply each side of the equation by 8. This does not change the equality, but does allow you to cancel the 8 on the left side. This leaves you with:

Now, subtract 1 from each side of the equation. This leaves you with 2x alone on one side:

Let's simplify the right side:

Now, the last step is to get x alone by dividing each side of the equation by 2:

Simplify:

Now, you can check this answer by plugging 17/4 back into the original equation for x and see if the equality holds true.
Good Luck,
tutor_paul@yahoo.com
RELATED QUESTIONS
Find the least common denominator? How would you do this? 5 over 2(x+1), 1 over 2x, 3... (answered by Maths68)

I know I am making this harder than it is! Would you please help me with how to work this (answered by edjones)

How would you solve this proportion x-4 over 2 = 3 over... (answered by solver91311)

how do you solve the problem 1= 5x Over 6 + 2x Over 3 (answered by stanbon)

1 over 2x-7 + 3 over 7-2x show work isn't the bottom denominators the... (answered by fractalier)

3 1/4 times 7 1/2 epuals (answered by ewatrrr)

How would you simplify this problem? radical 3 over radical 21 Would you divide... (answered by richwmiller)

how would you begin to solve this problem 1+i over 1+2i + 1-i over... (answered by Alan3354)

how would you work 3 - i over 2 - i (answered by stanbon)