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Solve. 6x+9=3+8x-8

Solve.\newline6x+9=3+8x−8 6 x+9=3+8 x-8

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Full solution

Q. Solve.\newline6x+9=3+8x−8 6 x+9=3+8 x-8
  1. Simplify Both Sides: Step Title: Simplify Both Sides\newlineConcise Step Description: Combine like terms on both sides of the equation.\newlineStep Calculation: On the right side, 3−83 - 8 simplifies to −5-5. So, the equation becomes 6x+9=−5+8x6x + 9 = -5 + 8x.\newlineStep Output: 6x+9=−5+8x6x + 9 = -5 + 8x
  2. Move Variables to One Side: Step Title: Move Variables to One Side\newlineConcise Step Description: Subtract 6x6x from both sides to isolate xx on one side.\newlineStep Calculation: −5+8x−6x=6x+9−6x-5 + 8x - 6x = 6x + 9 - 6x, which simplifies to −5+2x=9-5 + 2x = 9.\newlineStep Output: −5+2x=9-5 + 2x = 9
  3. Isolate the Variable: Step Title: Isolate the Variable\newlineConcise Step Description: Add 55 to both sides to solve for xx.\newlineStep Calculation: −5+5+2x=9+5-5 + 5 + 2x = 9 + 5, which simplifies to 2x=142x = 14.\newlineStep Output: 2x=142x = 14
  4. Solve for x: Step Title: Solve for x\newlineConcise Step Description: Divide both sides by 22 to find the value of xx.\newlineStep Calculation: 2x2=142\frac{2x}{2} = \frac{14}{2}, which simplifies to x=7x = 7.\newlineStep Output: x=7x = 7

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