Question

Tue value of x in the equation 2x/3-7=3x/2+5 is ?​

Answer 1

★Given:

$\dfrac{2x}{3} - 7 = \dfrac{3x}{2} + 5$

★To find:

the value of x

★Solution:

$\frac{2x}{3} - 7 = \frac{3x}{2} + 5\\ \\ \\ \frac{2x +(-21)}{3} = \frac{3x+10}{2}\\ \\ \\ by \: cross\: multiplication\\ \\ \\ (2x-21) \times 2 = (3x+10) \times 3 \\ \\ \\ 4x-42 = 9x + 30 \\ \\ \\ 9x-4x = -42-30 \\ \\ \\ 5x = -72 \\ \\ \\ x = \frac{-72}{5} \\ \\ \\ {\pink{\boxed{ x = -14.4}}}$