How do you solve #5/4x + 1/8x = 9/8 + x#?

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Answer 1 · 2018-04-13T02:08:16

#x=3#

First, multiply the whole equation by #8#

#8[5/4x+1/8x=9/8+x]#

#8(5)/4x+8(1)/8x=8(9)/8+(8)x#

#cancel(8)color(red)(2)(5)/cancel(4)x+cancel(8)(1)/cancel(8)x=cancel(8)(9)/cancel(8)+(8)x#

#10x+x=9+8x#

#11x=9+8x#

Now subtract #8x# from each side

#11x-8x=9+8x-8x#

#3x=9#

Now divide each side by #3#

#3/3x=9/3#

#x=3#

Final Answer:

#x=3#