Solve algebraically for x: x+2/6 = 3/x-1

X+2/6=3/x-1

Fist multiple both sides by 6 to get the one side to become a whole number

6 (x+2/6) = 6 (3/x-1)

X+2=18/x-1

Then get both the x's on the same side by multiplying

(X-1) (x+2) = (x-1) (18/x-1)

(X-1) (x+2) = 18

Now multiply the binomial

X^2+x-2=18

Next set the equation equal to zero

X^2+x-20

Now factor (what two numbers when added equal 1 and multiply to equal - 20)

(X-4) (x+5)

Set both equal to zero and solve

X-4=o x+5=o

X=4 X=-5