n = 11
Work Step by Step
First, you would use the Multiplication Property of Equality and multiply both sides by 8 to cancel out the denominator on the left side of the equation. On the right side of the equation, you would multiply the quantity 3n-5 by 2 because when you multiply the 8 on both sides of the equal sign, you cross multiply the denominator of 4 and the 8, which becomes 8 over 4, so you get 2 as a numerator, which will be multiplied to the quantity 3n-5. The equation is now 5n+1=6n-10. Next, you would use the Addition Property of Equality and add 10 to both sides of the equation to cancel out the 10 on the right side of the equation. The equation is now 5n+11=6n. Lastly, using the Subtraction Property of Equality, you subtract 5n from both sides of the equation to cancel out the 5n on the left side of the equation. The answer is n = 11.