Which value of x satisfies the equation (1)/(2)(x-(5)/(3))=-(13)/(3) ? 7 -8 8 -7

Write Equation: Write down the equation and simplify it if possible. (1)/(2)(x-(5)/(3))=-(13)/(3)Eliminate Fraction: Multiply both sides of the equation by 2 to eliminate the fraction on the left side. 2 * (1)/(2)(x-(5)/(3)) = 2 * (-(13)/(3)) x - (5)/(3) = -(26)/(3)Isolate x: Add (5)/(3) to both sides of the equation to isolate x. x - (5)/(3) + (5)/(3) = -(26)/(3) + (5)/(3) x = -(26)/(3) + (5)/(3)Combine Fractions: Combine the fractions on the right side of the equation. x = -(26)/(3) + (5)/(3) x = [-(26) + 5] / 3 x = -21 / 3Find x Value: Simplify the fraction to find the value of x. x = -21 / 3 x = -7

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Q. Which value of

x

satisfies the equation

\frac{1}{2}\left(x-\frac{5}{3}\right)=-\frac{13}{3}

\newline

7

\newline

-8

\newline

8

\newline

-7

Write Equation: Write down the equation and simplify it if possible. $\newline$ $\frac{1}{2}(x-\frac{5}{3})=-\frac{13}{3}$
Eliminate Fraction: Multiply both sides of the equation by $2$ to eliminate the fraction on the left side. $\newline$ $2 \times \frac{1}{2}(x-\frac{5}{3}) = 2 \times \left(-\frac{13}{3}\right)$ $\newline$ $x - \frac{5}{3} = -\frac{26}{3}$
Isolate x: Add $(5)/(3)$ to both sides of the equation to isolate x. $\newline$ $x - \frac{5}{3} + \frac{5}{3} = -\frac{26}{3} + \frac{5}{3}$ $\newline$ $x = -\frac{26}{3} + \frac{5}{3}$
Combine Fractions: Combine the fractions on the right side of the equation. $\newline$ $x = -\frac{26}{3} + \frac{5}{3}$ $\newline$ $x = \left[-\left(26\right) + 5\right] / 3$ $\newline$ $x = -\frac{21}{3}$
Find x Value: Simplify the fraction to find the value of $x$ . $x = \frac{-21}{3}$ $x = -7$