Question

Solve the following equation and also check the solution:
$0.5x+7.5=0.25x-1.5$

Answer 1

$0.5x+7.5=0.25x-1.5$

$=0.5x+0.25x=-1.5-7.5$

$=0.25x=-9$

$=x=\frac{-9}{2.5}\times 10$

$=x=-9\times 4$

$=x=-36$

$CheckingL.H.S=0.5\times \left(-36\right)\times 7.5$

$=-18+7.5$

$=-10.5$

$R.H.S=0.25\times \left(-36\right)-1.5$

$=-10\times -1.5$

$=-10.5$

$So,L.H.S=R.H.S$