Question

3x + 4 /2x -3=2/3 solve the following equation

Answer 1

Given:

$\frac{3x+4}{2x-3}=\frac{2}{3}$

To find:

The value of x

Solution:

$\frac{3x+4}{2x-3}=\frac{2}{3}$

Apply cross multiplication

(3x+4)×3=2×(2x-3)

Use distributive law

9x+12=4x-6

Separate variable terms

9x-4x=-12-6

Solve

5x = -18

x = -$\frac{18}{5}$

Hence, x=-$\frac{18}{5}$