Sure, let's solve the equation step by step:
- First, simplify both sides by multiplying -3 to the expression within the parentheses on the left side:
-3(-7-x) = 21 + 3x
The equation then becomes:
21 + 3x = 1/2(x+2)
- Next, distribute 1/2 to the expression within the parentheses on the right side:
21 + 3x = 1/2 x + 1
- To eliminate the fraction, we can multiply everything by 2:
42 + 6x = x + 2
- Now we can solve for x by bringing all x terms to one side and all constants to the other side:
6x - x = 2 - 42
5x = -40
x = -8
Therefore, the solution to the equation -3(-7-x)=1/2(x+2) is x = -8.