Answer
$x=1$
Work Step by Step
$3(x-1.1)=5x-5.3\rightarrow$ apply the distributive property
$3x-3.3=5x-5.3\rightarrow$ subtract 3x and add 5.3 to each side
$3x-3.3-3x+5.3=5x-5.3-3x+5.3\rightarrow$ combine like terms
$2=2x\rightarrow$ divide both sides by 2
$2\div2=2x\div2$ simplify
$1=x$