Question

Given m | n, find the value of x.
(2x-6)° = (x+3)°

Answer 1

To find the value of x given the equation (2x-6)° = (x+3)°, we set the two expressions equal, subtract x from both sides, add 6 to both sides, and deduce that the value of x is 9.

Step-by-step explanation:

To solve for the value of x when given the equation (2x-6)° = (x+3)°, we need to set the two expressions equal to each other and solve for x. Here's a step-by-step explanation:

1. Write down the given equation: (2x-6)° = (x+3)°.
2. Remove the degrees symbol since we are dealing with algebraic expressions, and degrees would not affect the solution: 2x - 6 = x + 3.
3. Get all the x terms on one side by subtracting x from both sides: 2x - x - 6 = 3.
4. Simplify the equation: x - 6 = 3.
5. Add 6 to both sides to isolate x: x = 9.

Thus, the value of x is 9.