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Solve for x . 

−5(6x+15)=−45

1 answer

To solve the equation \(-5(6x + 15) = -45\), follow these steps:

  1. Distribute the -5 on the left side: \[ -5 \cdot 6x - 5 \cdot 15 = -30x - 75 \] So the equation becomes: \[ -30x - 75 = -45 \]

  2. Add 75 to both sides to isolate the term with \(x\): \[ -30x - 75 + 75 = -45 + 75 \] This simplifies to: \[ -30x = 30 \]

  3. Divide both sides by -30 to solve for \(x\): \[ x = \frac{30}{-30} = -1 \]

Thus, the solution is: \[ \boxed{-1} \]