Which value of x satisfies the equation (1)/(3)(x-(1)/(2))=-(1)/(2) ? 1 2 -2 -1

Isolate variable x: First, we need to isolate the variable x in the equation (1)/(3)(x-(1)/(2))=-(1)/(2). To do this, we can start by multiplying both sides of the equation by 3 to get rid of the fraction on the left side. (1)/(3)(x-(1)/(2)) * 3 = -(1)/(2) * 3Multiply by 3: After multiplying both sides by 3, we get: x - (1)/(2) = -3/2 Now, we need to solve for x by adding (1)/(2) to both sides of the equation.Add (1)/(2): Adding (1)/(2) to both sides gives us: x - (1)/(2) + (1)/(2) = -3/2 + (1)/(2) This simplifies to: x = -3/2 + 1/2Combine fractions: Now we combine the fractions on the right side of the equation: x = -2/2 + 1/2 x = -1/2Final value of x: We have found the value of x that satisfies the equation: x = -1/2 However, this value is not listed in the options provided. We need to check our calculations to see if there was an error.

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Q. Which value of

x

satisfies the equation

\frac{1}{3}\left(x-\frac{1}{2}\right)=-\frac{1}{2}

\newline

1

\newline

2

\newline

-2

\newline

-1

Isolate variable x: First, we need to isolate the variable $x$ in the equation $\frac{1}{3}(x-\frac{1}{2})=-\frac{1}{2}$ . To do this, we can start by multiplying both sides of the equation by $3$ to get rid of the fraction on the left side. $\newline$ $\frac{1}{3}(x-\frac{1}{2}) \times 3 = -\frac{1}{2} \times 3$
Multiply by $3$ : After multiplying both sides by $3$ , we get: $\newline$ $x - \frac{1}{2} = -\frac{3}{2}$ $\newline$ Now, we need to solve for $x$ by adding $\frac{1}{2}$ to both sides of the equation.
Add $(1)/(2)$ : Adding $(1)/(2)$ to both sides gives us: $\newline$ $x - \frac{1}{2} + \frac{1}{2} = -\frac{3}{2} + \frac{1}{2}$ $\newline$ This simplifies to: $\newline$ $x = -\frac{3}{2} + \frac{1}{2}$
Combine fractions: Now we combine the fractions on the right side of the equation: $\newline$ $x = \frac{-2}{2} + \frac{1}{2}$ $\newline$ $x = \frac{-1}{2}$
Final value of x: We have found the value of x that satisfies the equation: $\newline$ $x = -\frac{1}{2}$ $\newline$ However, this value is not listed in the options provided. We need to check our calculations to see if there was an error.