Examkin

Question

Difficulty: EasyLinear Equations in One Variable

If 5(x−2)=3x+85(x - 2) = 3x + 8, what is the value of xx?

  1. A
    5
  2. B
    6
  3. 9Answer
  4. D
    -1

Answer

The value of xx is 9.
Distributing the 5 to both terms inside the parentheses yields 5x−10=3x+85x - 10 = 3x + 8. Subtracting 3x3x from both sides gives 2x−10=82x - 10 = 8. Adding 10 to both sides yields 2x=182x = 18. Dividing both sides by 2 gives the correct value of xx, which is 9.

Step-by-Step Solution

1
Distribute the 5 to the terms inside the parentheses on the left side of the equation
5x−10=3x+85x - 10 = 3x + 8
To simplify the left side of the equation by removing the parentheses.
2
Subtract 3x3x from both sides of the equation to collect the variable terms on one side
2x−10=82x - 10 = 8
To isolate the variable term on the left side of the equation.
3
Add 10 to both sides of the equation to collect the constant terms on the other side
2x=182x = 18
To further isolate the variable term.
4
Divide both sides of the equation by 2
x=9x = 9
To solve for the variable xx.

Key Concept

Solving linear equations in one variable using distributive property and isolation of the variable.
Rate this question

Topics

Linear Equations in One Variable

More questions from this topic