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Solve for x: 5(x - 1) = 3x + 7.

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Question: Solve for x: 5(x - 1) = 3x + 7.

Options:

  1. x = 6
  2. x = 5
  3. x = 4
  4. x = 3

Correct Answer: x = 6

Solution: 

Step 1: Distribute: 5x - 5 = 3x + 7. Step 2: Subtract 3x from both sides: 2x - 5 = 7. Step 3: Add 5 to both sides: 2x = 12. Step 4: Divide by 2: x = 6.

Solve for x: 5(x - 1) = 3x + 7.

Practice Questions

Q1
Solve for x: 5(x - 1) = 3x + 7.
  1. x = 6
  2. x = 5
  3. x = 4
  4. x = 3

Questions & Step-by-Step Solutions

Solve for x: 5(x - 1) = 3x + 7.
  • Distributive Property – The process of multiplying a single term by terms inside parentheses.
  • Combining Like Terms – The method of simplifying expressions by adding or subtracting terms that have the same variable.
  • Solving Linear Equations – Finding the value of the variable that makes the equation true.
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