1.5(x+3)=0.5x+4.5+x

1.5(x+3)=0.5x+4.5+x

1.5x+4.5=0.5x+4.5+x

1.5x+4.5=1.5x+4.5

Subtracting 1.5x and 4.5 from both sides we get,

0=0

Therefore, the equation is true for all values of x.