Question

Given the equation −4x + 10 = 2, which order of operations completely solves for x?

Divide by −4, then subtract 10
Divide by 2, then subtract 10
Subtract 2, then divide by −4
Subtract 10, then divide by −4

Answer 1

Hi there!

Answer:
The answer is "Subtract 10, then divide by −4"

Step-by-step explanation:
To solve a linear equation (for x) we need to isolate the variable (x). First we need to bring the variables to the left side (in this case, it is already on the correct place). Next up is bringing all the integers to the right side. Therefore, we must first subtract 10. Our final step is dividing by the number that is placed in front of x (in this case divide by −4)

Solving the equation:
−4x + 10 = 2
First subtract 10 (from both sides of the equation)

−4x = −8
Divide by −4

x = −8 / −4 = 2
Therefore, the solution is x = 2

I hope this anwer helps you!