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3(−x+3)−2x+3=

−38

1 answer

To solve the equation \( 3(-x + 3) - 2x + 3 = -38 \), we can follow these steps:

  1. Distribute the \( 3 \) in the first term: \[ 3(-x) + 3(3) - 2x + 3 = -38 \] This simplifies to: \[ -3x + 9 - 2x + 3 = -38 \]

  2. Combine like terms: \[ -3x - 2x + 9 + 3 = -38 \] This further simplifies to: \[ -5x + 12 = -38 \]

  3. Isolate the variable term by subtracting \( 12 \) from both sides: \[ -5x + 12 - 12 = -38 - 12 \] Which gives us: \[ -5x = -50 \]

  4. Divide by \(-5\) to solve for \( x \): \[ x = \frac{-50}{-5} = 10 \]

Thus, the solution is: \[ \boxed{10} \]