SOLUTION: Can you please walk me through the steps to solve this problem? (x-1)/(x+3)=(x+2)/(x-4)

Question 611792: Can you please walk me through the steps to solve this problem? (x-1)/(x+3)=(x+2)/(x-4)
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Can you please walk me through the steps to solve this problem?
x-1)/(x+3)=(x+2)/(x-4)
--------
Cross-multiply:
(x-1)(x-4) = (x+3)(x+2)
Use FOIL on both sides:
x^2-4x-x+4 = x^2 + 2x + 3x + 6
-----
Simplify:
x^2 -5x +4 = x^2 + 5x + 6
-------
Simplify:
10x = -2
x = -1/5
------------------
Cheers,
Stan H.
====================

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

Multiply both sides by
Note that when you multiply both sides of any
equation by the same thing, the equation is still
true.

Expand each side

Subtract from each side

Combine like terms

Add to both sides

Subtract from both sides

Divide both sides by

answer
-------------------
You can easily check this.
Plug this back into original equation.

Now do the divisions with a calculator

OK
RELATED QUESTIONS
Can someone help me through the steps to solve this problem {{{ log(3,x)= log(3,x)(1/x)+... (answered by lwsshak3)
hi, i dont think i picked the right topic for my question. i have a math Problem that (answered by Fombitz,MathTherapy)
-3(3x+15)-(10+x)=35 can you please walk me through the steps of this math problem. We... (answered by MathLover1,ewatrrr)
Find an equation for the lower half of the parabola, {{{(y+1)^2=x+3)}}}. Can someone help (answered by Theo)
Hello and thanks for being available to help me.. Can you please help solve an equation... (answered by jim_thompson5910)
Can you please show me how to solve this problem step by step please ? 0.8-4(X-1)=... (answered by ankor@dixie-net.com)
Could you walk me through the steps to solve 3x+12y=27 for... (answered by boilpoil)
Can someone walk me through the steps for the following problem? Thank you!... (answered by jim_thompson5910)
Can you please explain the steps to solving this problem? Thank You! x+2/x+1= 1/x+1 +... (answered by jim_thompson5910)