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Solve the following equation for x. Express your answer in the simplest form. -3(-x-1)=-(-3x-2)

Solve the following equation for x x . Express your answer in the simplest form.\newline−3(−x−1)=−(−3x−2) -3(-x-1)=-(-3 x-2) \newline

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Full solution

Q. Solve the following equation for x x . Express your answer in the simplest form.\newline−3(−x−1)=−(−3x−2) -3(-x-1)=-(-3 x-2) \newline
  1. Distribute −3-3: Distribute the −3-3 on the left side of the equation.\newline−3(−x−1)=−3×(−x)+−3×(−1)-3(-x-1) = -3 \times (-x) + -3 \times (-1)\newline=3x+3= 3x + 3
  2. Distribute negative sign: Distribute the negative sign on the right side of the equation.\newline−(−3x−2)=3x+2-(-3x-2) = 3x + 2
  3. Set expressions equal: Set the simplified expressions equal to each other. 3x+3=3x+23x + 3 = 3x + 2
  4. Subtract xx terms: Subtract 3x3x from both sides of the equation to get the xx terms on one side and the constants on the other.\newline3x+3−3x=3x+2−3x3x + 3 - 3x = 3x + 2 - 3x\newline0+3=0+20 + 3 = 0 + 2\newline3=23 = 2

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