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Solving Equations with Linear Expressions on One Side and Numbers on the Other Side

If 5 is added...

Question

If $5$ is added to three times a number, it becomes the same as $7$ is subtracted from four times the same number. This fact can be represented as ____

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Solution

Form an equation based on the given information
Let the unknown number be $x$ ,
Given, $5$ is added to three times the number $= 3 x + 5$ …………. $(i)$
And, $7$ is subtracted from four times the same number $= 4 x - 7$ ………….. $(i i)$
By the problem,
$5$ is added to three times a number, it becomes the same as $7$ is subtracted from four times the same number.
$3 x + 5 = 4 x - 7$
Hence, the fact can be represented as $3 x + 5 = 4 x - 7$ .

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If 5 is added to three times a number, it becomes the same as 7 is subtracted from four times the same number. This fact can be represented as ____

If $5$ is added to three times a number, it becomes the same as $7$ is subtracted from four times the same number. This fact can be represented as ____