use the distributive property for this problem
-2(3x+5)=-3(4x+3)
On the left side we have
-2 times 3x is -6x
-2 times +5 is -10
on the right side we have
-3 times 4x is -12x
-3 times +3 is -9
rewrite this as -6x-10=-12x-9
add 12x to both sides
6x-10=-9
add 10 to both sides
6x=1
divide by 6
x=1/6