Three times the sum of a number and 6 is equal to 8. Find the number.

Set Equation: Let x be the number we are trying to find. The equation based on the problem statement is 3(x + 6) = 8. Distribute 3: Simplify the equation by distributing the 3: 3x + 18 = 8. Subtract 18: Subtract 18 from both sides to isolate the term with x: 3x = 8 - 18. Calculate Result: Calculate 8 - 18: 3x = -10. Divide by 3: Divide both sides by 3 to solve for x: x = -10 / 3.

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Three times the sum of a number and $6$ is equal to $8$ . $\newline$ Find the number.

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Math Problems

Grade 8

Cube roots of positive and negative perfect cubes

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Q. Three times the sum of a number and

6

is equal to

8

\newline

Find the number.

Set Equation: Let $x$ be the number we are trying to find. The equation based on the problem statement is $3(x + 6) = 8$ .
Distribute $3$ : Simplify the equation by distributing the $3$ : $3x + 18 = 8$ .
Subtract $18$ : Subtract $18$ from both sides to isolate the term with $x$ : $3x = 8 - 18$ .
Calculate Result: Calculate $8 - 18$ : $3x = -10$ .
Divide by $3$ : Divide both sides by $3$ to solve for x: $x = -\frac{10}{3}$ .