Question

pls solve this fast
$2.4(3 - x) - 0.6(2x - 3) = 0$

Answer 1

Answer is x= 2.5
2.4(3-x)-0.6(2x-3)=0
7.2-2.4x-1.2x+1.8 = 0
9-3.6x=0
-3.6x = -9
-x = -2.5
x=2.5
2.5 = 5/2

Answer 2

SOLUTION WITH STEPS

$2.4(3-x)-0.6(2x-3)=0$
$[2.4(3-x)-0.6(2x-3)]*10=0*10$    [Multiplying both sides by 10. ]
$10*2.4(3-x)-10*0.6(2x-3)=0$
$24(3-x)-6(2x-3)=0$
$72-24x-12x+18=0$
$-24x-12x+72+18=0$
$-36x+90=0$
$-36x+90-90=0-90$    [Subtracting 90 from both sides. ]
$-36x=-90$
$\frac{-36x}{-36}=\frac{-90}{-36}$    [Dividing both sides by $-36$. ]
$x=\frac{5}{2}$

CHECKING
LHS (Left Hand Side of the equation) = $2.4(3-x)-0.6(2x-3)$ = $2.4(3-\frac{5}{2})-0.6(2*\frac{5}{2}-3)$ = $2.4(\frac{6-5}{2})-0.6(5-3)$ = $2.4*\frac{1}{2}-0.6*2$ = $\frac{2.4}{2}-1.2$ = $1.2-1.2$ = 0
RHS (Right Hand Side of the equation) = 0
                                      ∴ LHS = RHS

∴ The solution to the given equation is $x=\frac{5}{2}$. 

Congrats ! We have found the answer. 

Hope this may help you. 

If you have any doubt, then you can ask me in the comments.