Solve: StartFraction 2 Over 3 EndFraction minus 4 x plus StartFraction 7 Over 2 EndFraction equals negative 9 x plus StartFracti

Question

2 months ago

3

on 5 Over 6. EndFraction. – 4x + = –9x +

2 answers:

tester [12.3K] · Answer 1 · 2026-02-17T08:40:10+03:00

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

Step-by-step explanation:

Given the equation:

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

We aim to isolate "x".

1. Rearrange the equation by moving fractional terms to one side and terms containing x to the other:

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

2. Combine like terms.

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

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

After this step:

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

3. Lastly, divide both sides by 5 to solve for x:

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

Svet_ta [12.7K] · Answer 2 · 2026-02-17T08:40:06+03:00

3 0

Answer:

The solution is -2 1/8.

Step-by-step explanation:

I solved this problem using the Edge 2020 calculator.