Question

Solve this equation, 1/2(2-6x)-4(x+3/2)=-(x-3)+4
when x=-2 .

Answer 1

To solve the given equation when x=-2, we substitute the value of x and simplify the equation step by step. However, we find that the equation is inconsistent, indicating that there is no solution.

Step-by-step explanation:

To solve the equation 1/2(2-6x)-4(x+3/2)=-(x-3)+4 when x=-2, we substitute the value of x into the equation:

1/2(2-6(-2))-4((-2)+3/2)=-((-2)-3)+4

Simplifying the equation, we get:

1/2(2+12)-4(-1/2)=-(11)+4

Next, we solve the equation step by step:

1. 1/2(14)+2=-(11)+4
2. 7+2=-(11)+4
3. 9=-7

The equation is inconsistent, which means there is no solution.