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−2(x+1)+x−2=

−10

1 answer

Let's solve the equation step by step:

  1. Start with the original equation: \[ -2(x + 1) + x - 2 = -10 \]

  2. Distribute \(-2\) in the equation: \[ -2x - 2 + x - 2 = -10 \]

  3. Combine like terms on the left side: \[ (-2x + x) + (-2 - 2) = -10 \] \[ -x - 4 = -10 \]

  4. Next, add \(4\) to both sides of the equation: \[ -x - 4 + 4 = -10 + 4 \] \[ -x = -6 \]

  5. Multiply both sides by \(-1\) to solve for \(x\): \[ x = 6 \]

Thus, the solution to the equation is: \[ \boxed{6} \]