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−5(3x−3)+4x−5=

−12

1 answer

To solve the equation \(-5(3x - 3) + 4x - 5 = -12\), we will first simplify the left-hand side.

  1. Distribute \(-5\) across \((3x - 3)\): \[ -5(3x) + (-5)(-3) = -15x + 15 \] So the equation becomes: \[ -15x + 15 + 4x - 5 = -12 \]

  2. Combine like terms: \[ -15x + 4x + 15 - 5 = -12 \] This simplifies to: \[ -11x + 10 = -12 \]

  3. Next, isolate the term with \(x\) by subtracting 10 from both sides: \[ -11x = -12 - 10 \] Thus, \[ -11x = -22 \]

  4. Now, divide both sides by \(-11\): \[ x = \frac{-22}{-11} = 2 \]

So, the solution to the equation is: \[ \boxed{2} \]