Answer
$x=-1.5$
Work Step by Step
We are given that $2.4(2x+3)=-.1(2x+3)$. We can first use the distributive property to simplify both sides.
$2.4\times(2x+3)=-.1\times(2x+3)$
$4.8x+7.2=-.2x-.3$
Add .3 to both sides.
$4.8x+7.5=-.2x$
Subtract 4.8x from both sides.
$7.5=-5x$
Divide both sides by -5.
$x=-1.5$