We are tasked with solving the equation:
\[
\frac{x - 5}{3} = 2
\]
Step-by-Step Solution:
1.
Eliminate the denominator:
The equation has a fraction with a denominator of 3. To eliminate the denominator, multiply both sides of the equation by 3:
\[
3 \cdot \frac{x - 5}{3} = 3 \cdot 2
\]
Simplifying both sides:
\[
x - 5 = 6
\]
2.
Isolate the variable \( x \):
To isolate \( x \), add 5 to both sides of the equation:
\[
x - 5 + 5 = 6 + 5
\]
Simplifying both sides:
\[
x = 11
\]
Final Answer:
The solution to the equation is:
\[
\boxed{11}
\]
Verification:
To verify the solution, substitute \( x = 11 \) back into the original equation:
\[
\frac{x - 5}{3} = 2
\]
Substitute \( x = 11 \):
\[
\frac{11 - 5}{3} = \frac{6}{3} = 2
\]
The left-hand side equals the right-hand side, confirming that the solution is correct.
\[
\boxed{11}
\]
Parent Tip: Review the logic above to help your child master the concept of two step equations worksheet for high school.
