Solve for x : −2(3x−15)−25=35 .(1 point)

Question

x=

Answer 1

To solve the equation \(-2(3x - 15) - 25 = 35\), follow these steps:

1. Distribute \(-2\) through the parentheses: \[ -2(3x) + 2(15) - 25 = 35 \] \[ -6x + 30 - 25 = 35 \]

2. Simplify the left side: \[ -6x + 5 = 35 \]

3. Subtract 5 from both sides: \[ -6x = 35 - 5 \] \[ -6x = 30 \]

4. Divide by \(-6\): \[ x = \frac{30}{-6} \] \[ x = -5 \]

Thus, the solution is: \[ \boxed{-5} \]