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Solve the following equation for x. Express your answer in the simplest form. -6-(x-10)=-3x+(1)/(2)(4x+6)

Solve the following equation for x x . Express your answer in the simplest form.\newline−6−(x−10)=−3x+12(4x+6) -6-(x-10)=-3 x+\frac{1}{2}(4 x+6) \newline

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Full solution

Q. Solve the following equation for x x . Express your answer in the simplest form.\newline−6−(x−10)=−3x+12(4x+6) -6-(x-10)=-3 x+\frac{1}{2}(4 x+6) \newline
  1. Combine like terms: Now, combine like terms on the left side. 4=−3x+(12)(4x+6)4 = -3x + \left(\frac{1}{2}\right)(4x + 6)
  2. Distribute on right side: Next, distribute the (1/2)(1/2) on the right side of the equation.4=−3x+2x+34 = -3x + 2x + 3
  3. Combine like terms: Combine like terms on the right side.\newline4=−x+34 = -x + 3
  4. Isolate xx: Now, isolate xx by adding xx to both sides of the equation.4+x=34 + x = 3

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