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solve −3x=2x+18 - 3x = 2x + 18

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Full solution

Q. solve −3x=2x+18 - 3x = 2x + 18
  1. Addition of 3x3x: We have the equation −3x=2x+18-3x = 2x + 18. To solve for xx, we need to get all the xx terms on one side of the equation. We can do this by adding 3x3x to both sides of the equation to move the −3x-3x term to the right.\newlineCalculation: −3x+3x=2x+18+3x-3x + 3x = 2x + 18 + 3x
  2. Simplify the equation: After adding 3x3x to both sides, we simplify the equation.\newlineCalculation: 0x=5x+180x = 5x + 18
  3. Subtract 1818: Now, we have 0=5x+180 = 5x + 18. To isolate xx, we need to subtract 1818 from both sides of the equation.\newlineCalculation: 0−18=5x+18−180 - 18 = 5x + 18 - 18
  4. Simplify further: After subtracting 1818 from both sides, we simplify the equation.\newlineCalculation: −18=5x-18 = 5x
  5. Divide by 55: To solve for xx, we divide both sides of the equation by 55.\newlineCalculation: (−18)/5=(5x)/5(-18) / 5 = (5x) / 5
  6. Find xx: After dividing by 55, we find the value of xx.\newlineCalculation: x=−185x = -\frac{18}{5}

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