How do you solve # x-5/7 + x+8/5 = 9/7#?

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Answer 1 · 2016-02-16T17:16:15

#x=1/5#

#color(green)(x )-color(blue)(5/7) +color(green)(x )+8/5 = color(blue)(9/7)#

#color(green)(2x) +8/5 = color(blue)(9/7 +5/7#

# color(green)(2x) +8/5 = color(blue)(14/7#

# color(green)(2x) = color(blue)(14/7 )- 8/5#

The L.C.M of the denominators of the R.H.S #(7,5) = 35#

# color(green)(2x) = color(blue)((14xx5)/(7xx5 ))-(8xx7)/(5xx7)#

# color(green)(2x) = 70/35 - 56/35#

# color(green)(2x) = 14/35#

# x = 14/(35xx2)#

# x = cancel14/(35xxcancel2)#

# x = cancel7/cancel35#

#x=1/5#