Solve: negative 1 over 2 x + 2 = −x + 7

10

5 over 2

2 over 5

20

-1/2x + 2 = -x + 7
-1/2x + x = 7 - 2
1/2x = 5
x = 10

Rewrite the equation in mathematical form. That is,
                               - (1/2)x + 2 = -x + 7
Multiply both sides of the equation by 2 to get rid of the fraction,   
                                   - x + 4 = -2x + 14
Group all the terms with x and the constants on different sides of the equation,
                                  -x + 2x = 14 - 4
Therefore, the value of x is 10.