Question

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 +

Answer 1

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:

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

Answer 2

Answer:

the correct answer is -2 1/8

Step-by-step explanation:

i did the question on edge 2020 :>