SOLUTION: How would I solve this: 10x-1/4=9x+3/8

Algebra ->  Expressions-with-variables -> SOLUTION: How would I solve this: 10x-1/4=9x+3/8      Log On


   

Question 122605: How would I solve this:
10x-1/4=9x+3/8
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

10x-1%2F4=9x%2B3%2F8 Start with the given equation



%288%29%2810x-1%2F4%29=%288%29%289x%2B3%2F8%29 Multiply both sides by the LCM of 8. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



80x-2=72x%2B3 Distribute and multiply the LCM to each side



80x=72x%2B3%2B2Add 2 to both sides


80x-72x=3%2B2 Subtract 72x from both sides


8x=3%2B2 Combine like terms on the left side


8x=5 Combine like terms on the right side


x=%285%29%2F%288%29 Divide both sides by 8 to isolate x



--------------------------------------------------------------
Answer:
So our answer is x=5%2F8 (which is approximately x=0.625 in decimal form)