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Solve for x in simplest form. 2=(1)/(2)(3x+6) Answer:

Solve for x \mathrm{x} in simplest form.\newline2=12(3x+6) 2=\frac{1}{2}(3 x+6) \newlineAnswer:

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Full solution

Q. Solve for x \mathrm{x} in simplest form.\newline2=12(3x+6) 2=\frac{1}{2}(3 x+6) \newlineAnswer:
  1. Write Equation, Solve for xx: Write down the given equation and identify what we need to solve for.\newlineThe given equation is 2=(12)(3x+6)2 = (\frac{1}{2})(3x + 6). We need to solve for xx.
  2. Eliminate Fraction, Multiply: Multiply both sides of the equation by 22 to eliminate the fraction on the right side.\newline2×2=(12)(3x+6)×22 \times 2 = \left(\frac{1}{2}\right)(3x + 6) \times 2\newlineThis simplifies to:\newline4=3x+64 = 3x + 6
  3. Isolate x Term, Subtract: Subtract 66 from both sides of the equation to isolate the term with xx on one side.\newline4−6=3x+6−64 - 6 = 3x + 6 - 6\newlineThis simplifies to:\newline−2=3x-2 = 3x
  4. Divide to Solve, Final Answer: Divide both sides of the equation by 33 to solve for xx. \newline−23=3x3-\frac{2}{3} = \frac{3x}{3}\newlineThis simplifies to:\newlinex=−23x = -\frac{2}{3}

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