How do you solve #\frac { 5x } { 3} + \frac { 9} { 8} = \frac { 7x} { 6} + \frac { 3} { 16}#?

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Answer 1 · 2017-01-28T18:17:12

#x=-1 7/8 or -1.875#

#(5x)/3+9/8=(7x)/6+3/16#

#:.(80x+54=56x+9)/48#

#:.(80x)/48+54/48=(56x)/48+9/48#

#:.80x+54=56x+9#

#:.80x-56x=9-54#

#:.24x=-45#

divide both sides by 3

#:.8x=-15#

#:.x=-15/8#

#:.x=-1 7/8or -1.875 #

check:

substitute #x= -1.875#

#:.5(-1.875/3)+1.125=7(-1.875)/6+0.1875#

#:.5(-0.625)+1.125=-2.1875+0.1875#

#:.-3.125+1.125=-2.1875+0.1875#

#:.-2=-2#