Question

Solve for m:
3(5/2-m/3) = -3/2​

Answer 1

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

$\sf \longmapsto 3 \bigg( \dfrac{5}{2} - \dfrac{m}{3} \bigg ) = - \dfrac{3}{2}$

Taking LCM of values inside the bracket:

$\sf \longmapsto3 \bigg( \dfrac{15 - 2m}{6} \bigg ) = - \dfrac{3}{2}$

Opening the brackets and expanding the terms :

$\sf \longmapsto \dfrac{45 - 6m}{6} = - \dfrac{3}{2}$

Now,cross multiply to both sides:

$\sf \longmapsto2(45 - 6m) = - 3 \times 6$

$\sf \longmapsto90 - 12m = - 18$

$\sf \longmapsto - 12m = - 18 - 90$

$\sf \longmapsto - 12m = - 108$

Minus both sides so,it gets cancelled:

$\sf \longmapsto12m = 108$

$\sf \longmapsto \: m = \dfrac{108}{12} = 9$

$\sf \bold {m = 9}$

Check:-

$\sf \longmapsto \: 12m = 108$

Taking LHS

$\sf \longmapsto12 \times 9 = 108$

Hence,LHS = RHS (Verified)