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Let the unknown number be x:

x/4-10 = 2x/3

Multiply all terms by 4 to eradicate the 4 denominator:

x-40 = 8x/3

Multiply all terms by 3 to eradicate the 3 denominator:

3x-120 = 8x

Collect like terms noticing the changes with the - and + signs:

3x-8x = 120

-5x = 120

Divide both sides of the equation by -5 to find the value of x:

x = -24

Substituting the value of x into the original equation gives you: -16 = -16

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Q: One fourth of a number is 10 less than two third of the number find the number?
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