Thread: Solve for x

Hey guys.

((x+1)/(x-1))=2a

Solve for x please I can't figure this one out.

Originally Posted by DHS1

Hey guys.

((x+1)/(x-1))=2a

Solve for x please I can't figure this one out.

$\displaystyle \frac{x+1}{x-1}=\frac{2a}{1}$

now, cross-multiply and solve. Show your work.

Originally Posted by DHS1

Hey guys.

((x+1)/(x-1))=2a

Solve for x please I can't figure this one out.

Here we go...

$\displaystyle \frac{x+1}{x-1}=2a$

$\displaystyle x+1=2a(x-1)$

$\displaystyle x+1=2ax-2a$

$\displaystyle x-2ax=-2a-1$

$\displaystyle x(1-2a)=-2a-1$

$\displaystyle x=\frac{-2a-1}{1-2a}$