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6(x-10)=4(x+21)

6(x−10)=4(x+21) 6(x-10)=4(x+21)

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Full solution

Q. 6(x−10)=4(x+21) 6(x-10)=4(x+21)
  1. Distribute terms: Distribute 66 into (x−10)(x-10) and 44 into (x+21)(x+21). \newline6(x−10)=6x−606(x-10) = 6x - 60\newline4(x+21)=4x+844(x+21) = 4x + 84
  2. Set equations equal: Set the distributed equations equal to each other.\newline6x−60=4x+846x - 60 = 4x + 84
  3. Subtract xx terms: Subtract 4x4x from both sides to get the xx terms on one side.\newline6x−4x−60=4x−4x+846x - 4x - 60 = 4x - 4x + 84\newline2x−60=842x - 60 = 84
  4. Add 6060: Add 6060 to both sides to isolate the 2x2x term.\newline2x−60+60=84+602x - 60 + 60 = 84 + 60\newline2x=1442x = 144
  5. Divide by 22: Divide both sides by 22 to solve for x.\newline2x2=1442\frac{2x}{2} = \frac{144}{2}\newlinex=72x = 72

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