Final answer:
To solve the equation -(1-5x) = -8x + 25, distribute the negative sign and move all terms with x to one side and constants to the other, simplifying to get 13x = 26, which leads to the solution x = 2.
Step-by-step explanation:
To solve the equation -(1-5x) = -8x + 25, we'll start by distributing the negative sign on the left side of the equation:
-1 + 5x = -8x + 25
Next, let's move all terms involving x to one side and constant terms to the other side:
5x + 8x = 25 + 1
Combining like terms, we have:
13x = 26
Finally, to find x, we divide both sides by 13:
x = 26 / 13
x = 2
So the solution to the equation is x = 2.