If 5x - 17 = -x + 7, then x = ?

2023

If 5x - 17 = -x + 7, then x = ?

  1. A.

    4

  2. B.

    5

  3. C.

    6

  4. D.

    7

Attempted by 2 students.

Show answer & explanation

Correct answer: A

Step-by-Step Solution

To solve the linear equation 5x - 17 = -x + 7, follow these steps to isolate the variable x:

  1. Group the variable terms: Add x to both sides of the equation to bring all x terms to one side. 5x + x - 17 = 7 6x - 17 = 7

  2. Group the constant terms: Add 17 to both sides of the equation to isolate the term with x. 6x = 7 + 17 6x = 24

  3. Solve for x: Divide both sides by 6.
    x = 24 / 6
    x = 4

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