To solve the equation -2(3x-15)-25=35, we first simplify both sides of the equation.
Starting with the left side, we apply the distributive property of multiplication over addition/subtraction:
-2(3x-15) = -2 * 3x - 2 * (-15)
= -6x + 30
So the equation becomes:
-6x + 30 - 25 = 35
Combining like terms on the left side:
-6x + 5 = 35
Next, we isolate the variable by subtracting 5 from both sides:
-6x = 35 - 5
= 30
Finally, to solve for x, we divide both sides by -6:
x = 30 / -6
= -5