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Question

Difficulty: EasyLinear Equations in One Variable

If 3(x−2)=−x+143(x - 2) = -x + 14, what is the value of xx?

  1. A
    2
  2. B
    4
  3. 5Answer
  4. D
    10

Answer

5
The correct value is 5. Distributing the 3 on the left side of the equation 3(x−2)=−x+143(x - 2) = -x + 14 yields 3x−6=−x+143x - 6 = -x + 14. Adding xx to both sides gives 4x−6=144x - 6 = 14. Adding 6 to both sides gives 4x=204x = 20. Finally, dividing both sides by 4 yields x=5x = 5.

Step-by-Step Solution

1
Distribute the 3 to the terms inside the parentheses on the left side of the equation.
3x−6=−x+143x - 6 = -x + 14
To simplify the equation and prepare to isolate the variable, the parentheses must be expanded.
2
Add xx to both sides of the equation to group all variable terms on the left side.
4x−6=144x - 6 = 14
Grouping the variable terms helps in isolating the variable.
3
Add 6 to both sides of the equation to isolate the variable term.
4x=204x = 20
Moving the constant term to the other side isolates the variable term 4x4x.
4
Divide both sides of the equation by 4 to find the value of xx.
x=5x = 5
Dividing by the coefficient of xx gives the final value of the variable.

Key Concept

Linear Equations in One Variable
Estimated Time:45s
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Topics

Linear Equations in One Variable

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