Solve the equation

8/x + 3 = 1/x + 1

Answer: I got the answer of - 7/2

Step-by-step explanation:

8

x

+3=

1

x

+1

Multiply all terms by x and cancel:

8+3x=1+1x

3x+8=x+1 (Simplify both sides of the equation)

3x+8-x=x+1-x (Subtract x from both sides)

2x+8=1

2x+8-8=1-8 (Subtract 8 from both sides)

2x=-7

2x

2

=

-7

2

(Divide both sides by 2)

x=

-7

2

Check answers. (Plug them in to make sure they work.)

x=

-7 / 2

(Works in original equation)

Answer: - 7/2