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Let’s check out your problem:

(2x+8)/(5)=(3x+2)/(6)

2x+85=3x+26 \frac{2 x+8}{5}=\frac{3 x+2}{6}

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Full solution

Q. 2x+85=3x+26 \frac{2 x+8}{5}=\frac{3 x+2}{6}
  1. Cross-Multiply: First, cross-multiply to get rid of the fractions. (2x+8)⋅6=(3x+2)⋅5(2x + 8) \cdot 6 = (3x + 2) \cdot 5
  2. Distribute Numbers: Distribute the numbers. 12x+48=15x+1012x + 48 = 15x + 10
  3. Move X Terms: Move all xx terms to one side by subtracting 12x12x from both sides. 12x+48−12x=15x+10−12x12x + 48 - 12x = 15x + 10 - 12x 48=3x+1048 = 3x + 10
  4. Move Constant Term: Move the constant term to the other side by subtracting 1010 from both sides. 48−10=3x+10−1048 - 10 = 3x + 10 - 10 38=3x38 = 3x
  5. Solve for X: Solve for x x by dividing both sides by 33. 383=3x3 \frac{38}{3} = \frac{3x}{3} x=383 x = \frac{38}{3}

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