Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for 
x.

(5x-1)/(8)=(5x+7)/(9)
Answer:

Solve for x \mathrm{x} .\newline5x18=5x+79 \frac{5 x-1}{8}=\frac{5 x+7}{9} \newlineAnswer:

Full solution

Q. Solve for x \mathrm{x} .\newline5x18=5x+79 \frac{5 x-1}{8}=\frac{5 x+7}{9} \newlineAnswer:
  1. Cross-multiply fractions: Cross-multiply to eliminate the fractions.\newline(5x1)×9=(5x+7)×8(5x - 1) \times 9 = (5x + 7) \times 8
  2. Distribute numbers: Distribute the numbers on both sides.\newline45x9=40x+5645x - 9 = 40x + 56
  3. Move terms: Move all terms containing xx to one side and constant terms to the other side.45x40x=56+945x - 40x = 56 + 9
  4. Combine like terms: Combine like terms.\newline5x=655x = 65
  5. Divide to solve: Divide both sides by 55 to solve for xx.x=655x = \frac{65}{5}
  6. Calculate value: Calculate the value of xx.x=13x = 13