Question

when x is added to the numerator and subtracted for the denominator of the fraction (A/B), where A cannot = B and B cannot = 0, the value of the fraction is changed to (C/D). find X

Answer 1

\[\frac{A+x}{B-x} = \frac{C}{D}\]

Answer 2

therefore:
\[D(A+x) = C(B-x)\]

Answer 3

distributive property:
\[DA + Dx = CB - Cx\]

Answer 4

rearrange:
\[Dx+Cx = CB - DA\]

Answer 5

combine like terms:
\[(D+C)x = CB - DA\]

Answer 6

and then divide:
\[x = \frac{CB - DA}{D+C}\]

Answer 7

@MrMoose thanks so much

Answer 8

You are welcome