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Zorluk: KolayLinear 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. 9Cevap
  4. D
    -1

Cevap

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.

Adım Adım Çözüm

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.

Anahtar Kavram

Solving linear equations in one variable using distributive property and isolation of the variable.
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Konular

Linear Equations in One Variable

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