Ask a New Question
Menu

Question

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

1 answer

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

  1. Distribute \(-2\) across the parentheses: \[ -2 \cdot 3x + 2 \cdot 15 - 25 = 35 \] This simplifies to: \[ -6x + 30 - 25 = 35 \]

  2. Combine like terms on the left side: \[ -6x + 5 = 35 \]

  3. Subtract \(5\) from both sides: \[ -6x = 35 - 5 \] Which simplifies to: \[ -6x = 30 \]

  4. Divide both sides by \(-6\) to solve for \(x\): \[ x = \frac{30}{-6} = -5 \]

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