Question

For which equation is the order of steps to first divide both sides by 2 and then to subtract 10 from both sides?

Responses
a. 2x + 10 = 16
b. 2(x − 10) = 16
c.10(x - 2) = 16
d. 2(x +10) = 16

Answer 1

The correct equation is b. 2(x - 10) = 16. To solve it, you first divide both sides by 2 and then add 10 to both sides, yielding x = 18.

Step-by-step explanation:

The equation for which the order of steps is to first divide both sides by 2 and then to subtract 10 from both sides is b. 2(x − 10) = 16. Here is a step-by-step explanation of how to solve this equation:

For the equation that orders the steps to first divide both sides by 2 and then subtract 10 from both sides, the correct option is a. 2x + 10 = 16.

To solve this equation, follow these steps:

1. Start with the original equation: 2(x - 10) = 16.
2. Divide both sides by 2 to get x - 10 = 8.
3. Subtract 10 from both sides to isolate the variable x, which gives us x = 8 + 10.
4. Simplify to find the solution: x = 18.