The equation 'twice the difference of a number and 5 equals 6' translates to the algebraic expression 2(x - 5) = 6. By following a series of steps to isolate the variable x, we find that the solution to the equation is x = 8.
The equation described by the student can be translated to an algebraic expression: 2(x - 5) = 6. To solve for the unknown number x, follow these steps:
Start with the original equation: 2(x - 5) = 6.
Divide both sides by 2 to simplify: (x - 5) = 3.
Add 5 to both sides to solve for x: x = 3 + 5.
Thus, x = 8.
The number x that satisfies the equation is 8. This algebraic approach demonstrates the use of the properties of the arithmetic operations and the distributive property to solve for an unknown variable.
The probable question may be:
What is the number which is, twice the difference of a number and 5 equals 6?