Middle School

Thirteen less than eight times a number is equal to eleven more than six times the number.

Solve for the number.

Answer :

Final answer:

The mathematical equation is represented as 8x - 13 = 6x + 11, which is solved out to find x = 12.

Explanation:

This question is asking for the solution of an algebraic equation. We can represent this problem Using an Algebraic equation: 8x - 13 = 6x + 11. Subtract 6x from each side of the equation to get: 2x - 13 = 11. Then add 13 to each side of the equation to get: 2x = 24. Finally, divide each side of the equation by 2 to get: x = 12. Therefore, the number that the problem is referring to is 12.

Learn more about Algebraic equations here:

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Answer:

Step-by-step explanation:

8x - 13 = 6x + 11

Subtract 6x from both sides

8x - 6x = 13 + 11

Add 13 to both sides

2x = 24

divide both sides by 2

x = 12

Check solution in original equation;

8(12) - 13 = 6(12) + 11

96 - 13 = 72 + 11

83 = 83