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Seven times a number is 8 greater than the sum of the number and 10.

Seven times a number is $8$ greater than the sum of the number and $10$ .

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Solve percent equations

Full solution

Q. Seven times a number is

8

greater than the sum of the number and

10

.

Define Unknown Number: Let's define the unknown number as $x$ . The problem states that seven times a number is $8$ greater than the sum of the number and $10$ . So, we write the equation: $7x = x + 10 + 8$ .
Write Equation: Simplify the right side of the equation: $7x = x + 18$ .
Simplify Equation: Subtract $x$ from both sides to start solving for $x$ : $7x - x = 18$ .
Subtract $x$ : Simplify the left side: $6x = 18$ .
Isolate $x$ : Divide both sides by $6$ to isolate $x$ : $x = \frac{18}{6}$ .
Calculate $x$ : Calculate the division: $x = 3$ .

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