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What is the solution set of 2/5 (x+4) -3/5 (2x+3) = 2/5(2-x)-1​

User Ted Naleid
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1 Answer

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Explanation:

2/5(x+4) - 3/5(2x+3) = 2/5(2-x)-1

2/5(x+4)-3/5(2x+3) = 2/5x-1/1(2-x)

2/5(x+4)-3/5(2x+3) = -2/5(2-x)

2/5x+8/5 - 6x/5 + 9/5 = -4/5 - (-2x/5) (-x- = +)

2x/5 + 8/5 - 6x/5 + 9/5 = -4/5 + 2x/5

(take like terms)

2x/5 - 6x/5 - 2x/5 = -4/5 - 9/5 - 8/5

( Find their L.C.M ) (5 is the LCM)

2x - 6x -2x / 5 = -4 - 9 - 8 / 5

-10x / 5 = -13 / 5

( cross multiply)

-50x = -65

x = -65/50

x = -1.3 ( decimal)

or x = 13/10 (improper fraction)

or x = 1 ³/10 ( mixed fraction).

Hope this helps.

Good luck.

If you have any questions, you're free to ask.

User Oldhomemovie
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