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think of a number he divides the number by $4$ then adds $10$ . the answer is $14$ . write an equation

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Write equations of circles in standard form using properties

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Q. think of a number he divides the number by

4

then adds

10

. the answer is

14

. write an equation

Divide by $4$ : Let $x$ be the number we're thinking of. He divides this number by $4$ , so we write that as $\frac{x}{4}$ .
Add $10$ : Then he adds $10$ to the result of the division, so the equation becomes $\frac{x}{4} + 10$ .
Set equation to $14$ : The answer to this operation is given as $14$ , so we set the equation equal to $14$ : $\frac{x}{4} + 10 = 14$ .
Subtract $10$ : To find $x$ , we first subtract $10$ from both sides of the equation to isolate the term with $x$ : $\frac{x}{4} = 14 - 10$ .
Multiply by $4$ : After subtracting, we get $\frac{x}{4} = 4$ .
Final answer: Now, we multiply both sides by $4$ to solve for $x$ : $x = 4 \times 4$ .
Final answer: Now, we multiply both sides by $4$ to solve for $x$ : $x = 4 \times 4$ . Multiplying gives us the final answer: $x = 16$ .

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