Answer:
(x-4)-(x+7)=8 is x = -19
Explanation:
To solve the equation for x, we need to simplify the left-hand side by combining the like terms:
(x-4)-(x+7)=8
x - 4 - x - 7 = 8 (distribute the negative sign)
-x - 11 = 8 (combine like terms)
To isolate x, we need to get rid of the constant term on the left-hand side. We can do this by adding 11 to both sides:
-x - 11 + 11 = 8 + 11
-x = 19
Finally, we can solve for x by multiplying both sides by -1:
x = -19
Therefore, the solution for the equation (x-4)-(x+7)=8 is x = -19.