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Solve 2(x - 4) = 3x + 1

Worked through step by step. More equations.

Answer
x=−9\boxed{x = -9}

Checking the result by substitution: 2(−9−4)=2(−13)=−262(-9 - 4) = 2(-13) = -26, and 3(−9)+1=−27+1=−263(-9) + 1 = -27 + 1 = -26, which is correct.

Problem: Solve the linear equation 2(x−4)=3x+12(x - 4) = 3x + 1.

Steps

  1. Distribute
    2x−8=3x+12x - 8 = 3x + 1
  2. Subtract 2x2x from both sides
    −8=x+1-8 = x + 1
  3. Subtract 1 from both sides
    −9=x-9 = x

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