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Question

Difficulty: EasyLinear Equations in One Variable

If 5(x−3)−2x=95(x - 3) - 2x = 9, what is the value of xx?

  1. A
    2
  2. B
    4
  3. 8Answer
  4. D
    -2

Answer

The value of xx is 88.
To solve the equation, distribute the 5 to the terms inside the parentheses to get 5x−15−2x=95x - 15 - 2x = 9. Combine the like terms 5x5x and −2x-2x to simplify the equation to 3x−15=93x - 15 = 9. Add 15 to both sides to isolate the variable term, which yields 3x=243x = 24. Finally, divide both sides by 3 to find x=8x = 8.

Step-by-Step Solution

1
Distribute the 55 to the terms inside the parentheses.
5x−15−2x=95x - 15 - 2x = 9
To remove the parentheses and begin simplifying the equation.
2
Combine the like variable terms 5x5x and −2x-2x.
3x−15=93x - 15 = 9
To group the x terms together.
3
Add 1515 to both sides of the equation.
3x=243x = 24
To isolate the term with the variable on one side.
4
Divide both sides of the equation by 33.
x=8x = 8
To solve for xx.

Key Concept

Solving linear equations in one variable using the distributive property, combining like terms, and applying inverse operations.
Estimated Time:45s
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Topics

Linear Equations in One Variable

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