Which value of x satisfies the equation (1)/(3)(x+(5)/(6))=-(19)/(18) ? -5 -4 5 4

Question

Which value of  x satisfies the equation  (1)/(3)(x+(5)/(6))=-(19)/(18) ?  -5  -4 5 4

Bytelearn · Accepted Answer

Write Equation: Write down the equation to be solved. (1)/(3)(x+(5)/(6))=-(19)/(18)Eliminate Fraction: Multiply both sides of the equation by 3 to eliminate the fraction on the left side. 3 * (1)/(3)(x+(5)/(6)) = 3 * (-(19)/(18))Simplify Equation: Simplify both sides of the equation. (x+(5)/(6)) = -3 * (19)/(18)Calculate Multiplication: Calculate the multiplication on the right side. (x+(5)/(6)) = -(57)/(18)Simplify Fraction: Simplify the fraction on the right side by dividing both the numerator and the denominator by their greatest common divisor, which is 3. (x+(5)/(6)) = -(57/3)/(18/3)Continue Simplifying: Continue simplifying the fraction on the right side. (x+(5)/(6)) = -(19)/(6)Subtract to Solve: Subtract (5)/(6) from both sides to solve for x. x = -(19)/(6) - (5)/(6)Combine Fractions: Combine the fractions on the right side. x = -(19+5)/(6)Calculate Sum: Calculate the sum in the numerator. x = -(24)/(6)Simplify Fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 6. x = -24/6Calculate Division: Calculate the division. x = -4

Which value of $x$ satisfies the equation $\frac{1}{3}\left(x+\frac{5}{6}\right)=-\frac{19}{18}$ ? $\newline$ $-5$ $\newline$ $-4$ $\newline$ $5$ $\newline$ $4$

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Which value of $x$ satisfies the equation $\frac{1}{3}\left(x+\frac{5}{6}\right)=-\frac{19}{18}$ ? $\newline$ $-5$ $\newline$ $-4$ $\newline$ $5$ $\newline$ $4$