5 times 6 divided by 2 plus 3 minus 9


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Solve: StartFraction 2 Over 3 EndFraction minus 4 x plus StartFraction 7 Over 2 EndFraction equals negative 9 x plus StartFraction 5 Over 6. EndFraction. – 4x + = –9x +

Answered by admin @



Answer: x=-\frac{2}{3}

Step-by-step explanation:

Given the following equation:

\frac{2}{3}-4x+\frac{7}{2}=-9x+\frac{5}{6}

We need to solve for "x":

1. Move the fractions to one side of the equation and the x-terms to the other side:

-4x+9x=\frac{5}{6}-\frac{2}{3}-\frac{7}{2}

2. Add the like terms.

To add the fractions we must find the Least Common Denominator (LCD):

6=2*3\\3=3\\2=2\\\\LCD=2*3=6

Then:

5x=\frac{5-4-21}{6}\\\\5x=-\frac{20}{6}\\\\5x=-\frac{10}{3}

3. Finally, divide both sides of the equation by 5:

\frac{5x}{5}=\frac{-\frac{10}{3}}{5}\\\\x=-\frac{2}{3}


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