First, factor an #x# out of each of the terms on the left side of the equation and combine like term:
#1.75x + 2.50x = 165#
#(1.75 + 2.50)x = 165#
#4.25x = 165#
Now, divide each side of the equation by #color(red)(4.25)# to solve for #x# while keeping the equation balanced:
#(4.25x)/color(red)(4.25) = 165/color(red)(4.25)#
#(color(red)(cancel(color(black)(4.25)))x)/cancel(color(red)(4.25)) = 100/100 xx 165/color(red)(4.25)#
#x = 16500/425#
#x = (25 xx 660)/(25 xx 17)#
#x = (color(red)(cancel(color(black)(25))) xx 660)/(color(red)(cancel(color(black)(25))) xx 17)#
#x = 660/17#
Or
#x = 38.82# rounded to the nearest hundredth
