In this problem, you're expected to isolate x on one side of the equation, and every other aspect of the equation (including a negative, if you end up with a (-x) at the end) on the other side of the =.
To do this, you use a process called "balancing the equation," which is essentially working backwards with PEMDAS.
The first part, since we're going backwards, is addition or subtraction. We see there is a -15, which we can clear from that side by adding 15 to both sides. It looks like this:
37x-15+15=38+15
Since -15+15=0,
37x cancel(-15+15)=38+15
Giving us, after simplifying the right side by adding 38 and 15:
37x=53
Since x is being multiplied by 37, the next step we can use working backwards from PEMDAS is division, to cancel out the multiplication. Do this to both sides as well.
"37x"-:"37"="53"-:"37"
Simplify.
x~~1.4
