b) \( \frac{x}{4}+5=\frac{x}{2}+\frac{x}{8}-1 \)
Real Tutor Solution
Answer
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Reviewed and approved by the UpStudy tutoring team
Bonus Knowledge
To solve the equation, let's first eliminate the fractions by finding a common denominator, which is 8. We can multiply through by 8 to simplify: \[ 8 \left( \frac{x}{4} \right) + 8 \cdot 5 = 8 \left( \frac{x}{2} \right) + 8 \left( \frac{x}{8} \right) - 8 \] This simplifies to: \[ 2x + 40 = 4x + x - 8 \] Now combine like terms on the right side: \[ 2x + 40 = 5x - 8 \] Next, isolate \(x\) by moving all terms involving \(x\) to one side and constant terms to the other side: \[ 40 + 8 = 5x - 2x \] \[ 48 = 3x \] To find \(x\), divide both sides by 3: \[ x = 16 \] So the solution to the equation is \( x = 16 \).