Question

How would you solve the equation -1/2x + 2 = -x + 7?

a) x = 10
b) x = -10
c) x = 5
d) x = -5

Answer 1

To solve the equation -1/2x + 2 = -x + 7, first add x to both sides of the equation. Then simplify the equation and solve for x. The solution is x = 10.

Step-by-step explanation:

To solve the equation -1/2x + 2 = -x + 7:

1. Add x to both sides of the equation: -1/2x + x + 2 = -x + x + 7
2. Simplify the equation: 1/2x + 2 = 7
3. Subtract 2 from both sides of the equation: 1/2x + 2 - 2 = 7 - 2
4. Simplify the equation: 1/2x = 5
5. Multiply both sides of the equation by 2 to get rid of the fraction: (2)(1/2x) = (2)(5)
6. Simplify the equation: x = 10

Therefore, the solution to the equation -1/2x + 2 = -x + 7 is x = 10.