SOLUTION: 5/4x+1/8x= 7/8+x

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Question 147903: 5/4x+1/8x= 7/8+x
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
5%2F%284x%29%2B1%2F%288x%29=+7%2F%288%2Bx%29
Multiply both sides by (4x)(8x)(8+x) to get rid of denominators.
5%288x%29%288%2Bx%29%2B1%284x%29%288%2Bx%29=7%284x%29%288x%29
%2840x%29%288%2Bx%29%2B%284x%29%288%2Bx%29=7%284x%29%288x%29
320x%2B40x%5E2%2B32x%2B4x%5E2=224x%5E2
44x%5E2%2B352x=224x%5E2Simplify.
180x=352Divide by x and reduce to lowest terms.
x=88%2F45