Write an equation for each of the following statement :
A number divided by $5$ gives seven less than twice the number.

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Solution

Finding the equation for given statement.
Let the given number is $x$ and twice the number is $2 x$
According the given condition
a number divided by $5$ gives seven less than twice the number
$\frac{x}{5} = 2 x - 7$
Hence, the required equation is $\frac{x}{5} = 2 x - 7$ .

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Translate each of the following statement into an equation, using x as the variable.

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(b) One-fifth of a number is 5 less than that number.

(d) 9 added to twice a number gives 13.

(e) 1 subtracted from one-third of a number gives 1.

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The number b divided by 5 gives 6.

Formulate an equation for the following statement:

‘Seven times a number is 12 less than thirteen times the same number.’

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