Question

Complete the equation to represent the relationship. Then solve the equation. Use the variable x to represent the unknown number. Three less than 4 times a number is the same as the number plus 12. The equation is - = X=

Answer 1

4x - 3 = x + 12

x=5

Explanation:

To represent the relationship described in the problem, we can use the equation:

4x - 3 = x + 12

This equation represents the statement "Three less than 4 times a number is the same as the number plus 12."

To solve the equation, we can begin by isolating the variable x. We can do this by simplifying and rearranging the equation:

4x - x = 12 + 3

Combining like terms:

3x = 15

To solve for x, we divide both sides of the equation by 3:

3x/3 = 15/3

Simplifying further:

x = 5

Therefore, the solution to the equation is x = 5.