How do you solve #\frac { 3} { 4} x + 8= \frac { 5} { 4}#?

1 Answer
Jim G.
Nov 13, 2017

#x=-9#

Explanation:

#"multiply ALL terms by 4 to eliminate the fractions in"#
#"in the equation"#

#(cancel(4)^1xx(3x)/cancel(4)^1)+(4xx8)=cancel(4)^1xx5/cancel(4)^1#

#rArr3x+32=5larrcolor(blue)"no fractions"#

#"subtract 32 from both sides"#

#3xcancel(+32)cancel(-32)=5-32#

#rArr3x=-27#

#"divide both sides by 3"#

#(cancel(3) x)/cancel(3)=(-27)/3#

#rArrx=-9#

#color(blue)"As a check"#

Substitute this value into the left side of the equation and if equal to the right side then it is the solution.

#(3/4xx-9)+8=-27/4+32/4=5/4=" right side"#

#rArrx=-9" is the solution"#

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