Solve for x: 5 = -x/2 - 17

Question image

Understand the Problem

The question is asking to solve the equation for the variable x. This involves manipulating the equation to isolate x on one side.

Answer

The value of $x$ is $-44$.
Answer for screen readers

The final answer is: $x = -44$

Steps to Solve

  1. Isolate the variable term
    To start, we need to isolate the term with the variable $x$. We can do this by adding 17 to both sides of the equation.
    $$ 5 + 17 = -\frac{x}{2} $$

  2. Simplify the equation
    Next, we'll simplify the left side of the equation.
    $$ 22 = -\frac{x}{2} $$

  3. Eliminate the fraction
    To eliminate the fraction, we can multiply both sides by -2.
    $$ 22 \times -2 = x $$

  4. Calculate the value of x
    Now, multiply to find the value of $x$.
    $$ x = -44 $$

The final answer is: $x = -44$

More Information

This equation originates from linear equations involving variables. It's important to master isolating variables to solve any linear equation.

Tips

  • Forgetting to change the sign when adding or subtracting numbers from both sides.
  • Not multiplying both sides by the same number, which can lead to an incorrect solution.

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