Hi, I have been trying to get my head around simplifying equations and was doing ok until I met this one:

(a+bx)/cx=d+5 Im trying to solve for x and it's cx thats my brick wall. Would someone be kind enough to guid me through it please.?

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- Apr 29th 2012, 04:58 AMnejulehoStruggling to simplyfy an equation :o(
Hi, I have been trying to get my head around simplifying equations and was doing ok until I met this one:

(a+bx)/cx=d+5 Im trying to solve for x and it's cx thats my brick wall. Would someone be kind enough to guid me through it please.? - Apr 29th 2012, 05:06 AMProve ItRe: Struggling to simplyfy an equation :o(
- Apr 29th 2012, 05:15 AMnejulehoRe: Struggling to simplyfy an equation :o(
Thx for such a prompt reply! I did actually get this far it's the expansion that's flooring me, how can it expand to cxd +5cx ? what am I doing wrong ?

- Apr 29th 2012, 05:17 AMProve ItRe: Struggling to simplyfy an equation :o(
- Apr 29th 2012, 06:07 AMnejulehoRe: Struggling to simplyfy an equation :o(
Which gives a+bx = cxd +5cx , as I understand things there are no like terms to combine, I think I'm missing something...

- Apr 29th 2012, 06:14 AMSorobanRe: Struggling to simplyfy an equation :o(
Hello, nejuleho!

Quote:

$\displaystyle \text{Solve for }x:\;\;\frac{a+bx}{cx} \:=\:d+5$

$\displaystyle \begin{array}{ccccc}\text{Multiply by }cx: & a+ bx \:=\:cx(d+5) \\ \\ \text{Expand:} & a+bx \:=\:cdx + 5cx \\ \\ \text{Subtract }bx: & a \:=\:cdx + 5cx - bx \\ \\ \text{Factor:} & a \:=\:(cd + 5c - b)x \\ \\ \text{Therefore:} & \dfrac{a}{cd+5c-b} \:=\:x \end{array}$

- Apr 29th 2012, 06:44 AMnejulehoRe: Struggling to simplyfy an equation :o(
Ah! thank you both so much. I see my error now I did actually get as far as subtracting bx in one of my attempts but failed to factorize and apply the operator logic to complete.