Explanation:
To solve the equation 8(x-4) = -48, we can start by distributing the 8 to the terms inside the parentheses:
8 * x - 8 * 4 = -48
This simplifies to:
8x - 32 = -48
Next, we can isolate the variable term by adding 32 to both sides of the equation:
8x - 32 + 32 = -48 + 32
Which simplifies to:
8x = -16
Finally, we can solve for x by dividing both sides of the equation by 8:
(8x) / 8 = (-16) / 8
This gives us:
x = -2
So the solution to the equation 8(x-4) = -48 is x = -2.
To check our answer, we can substitute x = -2 back into the original equation:
8(-2-4) = -48
This simplifies to:
8(-6) = -48
-48 = -48
Since the equation is true, our solution is correct.