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Solve 5(2x - 1) = 3(x + 4)

Worked through step by step. More equations.

Answer
177\boxed{\frac{17}{7}}

Substituting x=177x = \frac{17}{7} back into the original equation yields 153715\frac{3}{7} on both sides, confirming the solution is correct.

Problem: Solve for xx in the linear equation 5(2x−1)=3(x+4)5(2x - 1) = 3(x + 4).

Steps

  1. Distribute
    10x−5=3x+1210x - 5 = 3x + 12
  2. Subtract 3x3x from both sides
    7x−5=127x - 5 = 12
  3. Add 5 to both sides
    7x=177x = 17
  4. Divide both sides by 7
    x=177x = \frac{17}{7}

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