Answer
$x=0.7$
Work Step by Step
$5(x-0.36)=-x+2.4$ $\longrightarrow$ apply distributive property
$5x-1.8=-x+2.4$ $\longrightarrow$ isolate like terms on each side
$5x-1.8+x+1.8=-x+2.4+x+1.8$ $\longrightarrow$ simplify
$6x=4.2$ $\longrightarrow$ isolate x
$6x\div6=4.2\div6$ $\longrightarrow$ solve
$x=0.7$