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3 over 4 (x) minus one over six equals two thirds

label Algebra
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my teacher doesn't teach us he just gives us the answer and I wanted to know the steps to this problem and answer

Oct 17th, 2017

3 / (4x - 1 / 6) =  2 / 3

WE solve the bracket first then

3 / ((24x - 1) / 6) =  2 / 3

3 * 6 / (24x - 1) =  2 / 3

18 / (24x - 1) = 2 / 3

By cross multiplication, we get

18 * 3 = 2 * (24x - 1)

54 = 48x - 2

54 + 2 = 48x

x = 56 / 48

x = 7 / 6

Hence x =7 / 6

Mar 6th, 2015

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