#color(blue)("Method: ")#
Make them all have a common denominator.
Then just equate the numerators to each other.
Isolate #x #
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Determining the value of "x)#
I choose 24 as the common denominator
#color(white)(.)color(brown)( (3color(blue)(xx1))color(white)(...)+x(2/3color(blue)(xx1))color(white)(.)=x(5/6color(blue)(xx1))color(white)(.)-(7/8color(blue)(xx1)))#
#color(brown)( (3color(blue)(xx24/24))+x(2/3color(blue)(xx8/8))=x(5/6color(blue)(xx4/4))-(7/8color(blue)(xx3/3)))#
#" "72/24" "+" "16/24 x" "=" "20/24x" "-" "21/24#
Multiplying both sides by 24 removing the denominator.
#=>72+16x=20x-21 #
Subtract #16x# from both sides
#=>72=4x-21#
Add 21 to both sides
#=>93=4x#
Divide both sides by 4
#93/4=x#
Write as: #x=93/4#
