Question 9 Solve the equation \( 4 x-5=2 \) algebraically. If your answer is a fraction, write it in reduced, fractional form. Do NOT convert the answer to a decimal. \( x=\square \)

To solve the equation \( 4x - 5 = 2 \), first, add 5 to both sides to isolate the term with \( x \): \( 4x = 2 + 5 \) \( 4x = 7 \) Next, divide both sides by 4 to solve for \( x \): \( x = \frac{7}{4} \) So, \( x = \frac{7}{4} \). In algebra, isolating the variable is key! Always perform equal operations on both sides of the equation to maintain balance. If you ever find yourself stuck, remember to double-check each step to ensure you kept everything equal. Mistakes often stem from rushing through! The world of algebra was heavily influenced by ancient civilizations. The word "algebra" itself comes from the Arabic term "al-jabr," which means "the reunion of broken parts." This reflects how algebra helps us piece together information to uncover unknown values, just as it did for ancient scholars!