Solve the following equations and verify your answer: (2x - 3)/(3x + 2) = -2/3

Question

Solve the following equations and verify your answer:

\(\frac{2x - 3}{3x + 2}\)= \(-\frac{2}3\)

Answer 1

 \(\frac{2x - 3}{3x + 2}\)= \(-\frac{2}3\)

On cross multiplication, we get

3(2x - 3) = -2(3x + 2)

6x - 9 = -6x - 4

On transposing -6x  to LHS and -9 to RHS

6x + 6x = -4 + 9

12x = 5

x = \(\frac{5}{12}\)

Check:

Taking LHS

We got LHS=RHS