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3x−5=7\sqrt{3x-5}=7.Solve for `x`

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Power of a power: integer basesright chevron icon

Full solution

Q. 3x−5=7\sqrt{3x-5}=7.Solve for `x`
  1. Square both sides: Square both sides of the equation to eliminate the square root. (3x−5)2=72(\sqrt{3x-5})^2 = 7^2
  2. Simplify both sides: Simplify both sides of the equation. 3x−5=493x - 5 = 49
  3. Add 55 to isolate: Add 55 to both sides of the equation to isolate the term with xx.\newline3x−5+5=49+53x - 5 + 5 = 49 + 5
  4. Combine like terms: Simplify the equation by combining like terms. 3x=543x = 54
  5. Divide by 33: Divide both sides of the equation by 33 to solve for xx.3x3=543\frac{3x}{3} = \frac{54}{3}
  6. Find xx: Simplify the equation to find the value of xx.x=18x = 18

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