High School

One less than six times a number is equal to eleven more than three times the number.

Solve the equation \(6x - 1 = 3x + 11\) to find the number \(x\).

Answer :

Final answer:

The solution to the algebraic equation 6x - 1 = 3x + 11 is x = 4. We achieve this by isolating x on one side of the equation.

Explanation:

The subject of this question is Mathematics, specifically Algebra. The given equation to solve is 6x - 1 = 3x + 11. The goal here is to find the value of the variable x.

We can start by moving terms involving x to one side and constants to the other. Subtraction of 3x from both sides results in: 6x - 3x = 1 + 11, which simplifies to 3x = 12. Finally, isolating x by dividing both sides by 3, we get, x = 4.

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