Question

The solution of the equation
2/(5x+5)-3/(x^2-1)=4/(x-1)

Answer 1

\[\frac{2}{5(x+1)} - \frac{3}{(x+1)(x-1)} = \frac{4}{x-1}\]

Answer 2

Multiply both sides by x + 1 to get:
\[\frac{2}{5} - \frac{3}{x-1} = \frac{4(x+1)}{x-1}\]

Answer 3

Add 3/(x+1) to both sides to get:
\[\frac{2}{5} = \frac{4(x+1)}{x-1} + \frac{3}{x-1}\]

Answer 4

Combine fractions on the right side to get:
\[\frac{2}{5} = \frac{4x + 4 + 3}{x-1}\]

Simplify the numerator get:
\[\frac{2}{5} = \frac{4x + 7}{x-1}\]

Answer 5

Cross Multiply to get:
2(x-1) = 5(4x + 7)

Answer 6

Expand both sides to get:
2x - 2 = 20x + 35

Place like terms on the same side to get
-35 - 2 = 20x - 2x
-37 = 18x

Answer 7

Finish solving for x from there.

Answer 8

are you going to divide 18 by 37

Answer 9

No, you're going to divide both sides by 18 to isolate x

Answer 10

-37/18