1

Solve

\$ 2/x - 9/ x + 3/x^2 - 5/x = -4/x^2 \$

2

Taking like terms together

\$ 2/x - 9/x - 5/x = -4/x^2 - 3/x^2\$

3

After simplification

\$ -12/x = -7/x^2 \$

4

After simplification

\$ 7/x^2 - 12/x = 0\$

5

Taking LCM as '\$ x^2 \$'

\$ (7 + 12x)/x^2 = 0 \$

6

Multiplying \$ x^2 \$ on both sides

\$ (7 + 12x)/\cancel(x^2) \cancel(x^2) = 0(x^2) \$

7

After cancelation

\$ 7 + 12x = 0 \$

8

Adding \$ -7 \$ on both sides

\$ \cancel(7) - \cancel(7) + 12x = 0 - 7 \$

9

After cancelation

\$ 12x = -7 \$

10

Dividing on both sides by '\$ 12 \$' of the equality

\$ \cancel(12)/\cancel(12)x = -7/12 \$

11

Answer

B = \$ x = -7/12 \$