Which value of x satisfies the equation (2)/(3)(x-(5)/(6))=-(59)/(9) ? 9 -9 -8 8

Question

Which value of  x satisfies the equation  (2)/(3)(x-(5)/(6))=-(59)/(9) ? 9  -9  -8 8

Bytelearn · Accepted Answer

Isolate variable x: First, we need to isolate the variable x by getting rid of the fraction on the left side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of 2/3, which is 3/2.Multiply by reciprocal: Multiply both sides of the equation by 3/2 to cancel out the 2/3 on the left side. (3/2) * (2/3)(x - 5/6) = (3/2) * (-59/9)Simplify left side: Simplify the left side by canceling out the 2/3 with the 3/2, which leaves us with x - 5/6. On the right side, we multiply the numerators and denominators separately: (3 * -59) / (2 * 9). x - 5/6 = -177/18Simplify right side: Now we need to 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 = -59/6Isolate x: Next, we need to isolate x by adding 5/6 to both sides of the equation. x - 5/6 + 5/6 = -59/6 + 5/6Combine like terms: Simplify both sides by combining like terms. x = -59/6 + 5/6Combine fractions: Combine the fractions on the right side by adding the numerators and keeping the denominator the same. x = (-59 + 5) / 6Perform addition: Perform the addition in the numerator. x = -54/6Simplify fraction: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 6. x = -9

Which value of $x$ satisfies the equation $\frac{2}{3}\left(x-\frac{5}{6}\right)=-\frac{59}{9}$ ? $\newline$ $9$ $\newline$ $-9$ $\newline$ $-8$ $\newline$ $8$

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Which value of x x x satisfies the equation 23(x−56)=−599 \frac{2}{3}\left(x-\frac{5}{6}\right)=-\frac{59}{9} 32​(x−65​)=−959​ ?\newline999\newline−9 -9 −9\newline−8 -8 −8\newline888

Which value of $x$ satisfies the equation $\frac{2}{3}\left(x-\frac{5}{6}\right)=-\frac{59}{9}$ ? $\newline$ $9$ $\newline$ $-9$ $\newline$ $-8$ $\newline$ $8$