Question

solve each equation. check your solution. (examp 5. $24 = x - 5$

Explanation:

Step1: Add 5 to both sides

To solve for \( x \), we add 5 to both sides of the equation \( 24 = x - 5 \) to isolate \( x \).
\( 24 + 5 = x - 5 + 5 \)

Step2: Simplify both sides

Simplifying the left side gives \( 29 \), and simplifying the right side gives \( x \) (since \( -5 + 5 = 0 \)).
\( 29 = x \) or \( x = 29 \)

Step3: Check the solution

Substitute \( x = 29 \) back into the original equation \( 24 = x - 5 \).
Left side: \( 24 \)
Right side: \( 29 - 5 = 24 \)
Since both sides are equal, the solution is correct.

Answer:

\( x = 29 \)