Answer
$0.1x+1.2$
Work Step by Step
1. Expand the algebraic expression using the distributive property:
$0.3(x-4)+0.4(x+6)-0.6x$
=$0.3x-1.2+0.4x+2.4-0.6x$
2. Rewrite the expression:
$0.3x-1.2+0.4x+2.4-0.6x$
$=0.3x+0.4x-0.6x-1.2+2.4$
3. Combine like terms to simplify:
$0.3x+0.4x-0.6x-1.2+2.4$
$=x(0.3+0.4-0.6)−1.2+2.4$
$=x(0.1)+1.2$
$=0.1x+1.2$