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Solve for x in the equation 4(x - 1) = 2(x + 3).

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Question: Solve for x in the equation 4(x - 1) = 2(x + 3).

Options:

  1. x = 5
  2. x = 1
  3. x = 2
  4. x = 3

Correct Answer: x = 5

Solution:

Distribute: 4x - 4 = 2x + 6. Subtract 2x from both sides: 2x - 4 = 6. Add 4: 2x = 10. Divide by 2: x = 5.

Solve for x in the equation 4(x - 1) = 2(x + 3).

Practice Questions

Q1
Solve for x in the equation 4(x - 1) = 2(x + 3).
  1. x = 5
  2. x = 1
  3. x = 2
  4. x = 3

Questions & Step-by-Step Solutions

Solve for x in the equation 4(x - 1) = 2(x + 3).
  • Distributive Property – The process of distributing a coefficient across terms within parentheses.
  • Combining Like Terms – The method of simplifying expressions by combining terms that have the same variable.
  • Solving Linear Equations – Finding the value of the variable that makes the equation true.
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