Answer
$x=-7$
Work Step by Step
$3(x+2)=5(x+4)$
$3x+6=5x+20$
First we move the +6 and +5x to the other side of the equation to isolate the "x" on one side. Moving the +6 and +5x will cause them to become negative.
$3x-5x=20-6$
$-2x=14 /(-1)$
$2x=-14$
Then we will divide the equation by 2 so we could get the value of the single "x"
$2x=-14 /:7$
$\frac{2}{2}x=-\frac{14}{2}$
$x=-7$
We can also check if our result is correct by substituting our "x" in the original equation...
$3(-7+2)=5(-7+4)$
$-21+6=-35+20$
$-15=-15$