How do you solve \frac { 5x } { 3} + \frac { 9} { 8} = \frac { 7x} { 6} + \frac { 3} { 16}5x3+98=7x6+316?

1 Answer
Jan 28, 2017

x=-1 7/8 or -1.875x=178or1.875

Explanation:

(5x)/3+9/8=(7x)/6+3/165x3+98=7x6+316

:.(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