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Solve for x

: −2(3x−15)−4=56

1 answer

To solve the equation \( -2(3x - 15) - 4 = 56 \), follow these steps:

  1. Distribute the \(-2\) across the parentheses: \[ -2 \cdot 3x + 2 \cdot 15 - 4 = 56 \] This simplifies to: \[ -6x + 30 - 4 = 56 \]

  2. Combine the constants \(30 - 4\): \[ -6x + 26 = 56 \]

  3. Subtract 26 from both sides: \[ -6x = 56 - 26 \] Simplifying the right side gives: \[ -6x = 30 \]

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

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