Question

Solve the equation 12 = -5x + 2 for x.
a) x = -2
b) x = 2
c) x = 2.2
d) x = -2.2

Answer 1

To solve the equation 12 = -5x + 2 for x, subtract 2 from both sides, then divide by -5, resulting in x = -2. Hence, option a) x = -2 is the correct solution.

Step-by-step explanation:

To solve the equation 12 = -5x + 2 for x, we will follow basic algebraic steps.

1. Start by subtracting 2 from both sides of the equation to isolate terms with x on one side: 12 - 2 = -5x
2. After subtraction, the equation will be 10 = -5x
3. Next, divide both sides by -5 to solve for x: x = 10 / -5
4. The solution for x is x = -2.

Therefore, the correct answer is a) x = -2.