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#
