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Solve for x: 3(2x - 5) + 4 = 7x - 11

Worked through step by step. More equations.

Answer
x=0\boxed{x = 0}

Substituting x=0x = 0 into the original equation gives 3(−5)+4=−113(-5) + 4 = -11 and 7(0)−11=−117(0) - 11 = -11, confirming the result is correct.

Problem: Solve for xx in the equation 3(2x−5)+4=7x−113(2x - 5) + 4 = 7x - 11.

Steps

  1. Distribute the 3
    6x−15+4=7x−116x - 15 + 4 = 7x - 11
  2. Combine like terms
    6x−11=7x−116x - 11 = 7x - 11
  3. Add 11 to both sides
    6x=7x6x = 7x
  4. Subtract 6x from both sides
    0=x0 = x

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