14+2x=4x: divide 2x on each side
14=2x: divide by 2
7=x
7
Kevin painted
of the wall.
Solution:
Fraction of the wall painted by Elena = 
Fraction of the wall painted by Matthew = 
Fraction of the wall painted by Kevin = ?
Full wall can be taken as 1.
<u>To find the wall painted by Kevin:</u>
Rest of the wall = Full wall – painted by Elena – Painted by Matthew


To make the denominator same, multiply the numerator and denominator of the first term by 9.



Rest of the wall = 
Hence the kevin painted
of the wall.
Given:
The equation is

To find:
The value of x.
Solution:
We have,

![[\because \left(\dfrac{a}{b}\right)^{-m}=\left(\dfrac{b}{a}\right)^{m}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cleft%28%5Cdfrac%7Ba%7D%7Bb%7D%5Cright%29%5E%7B-m%7D%3D%5Cleft%28%5Cdfrac%7Bb%7D%7Ba%7D%5Cright%29%5E%7Bm%7D%5D)
![[\because a^ma^n=a^{m+n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5Ema%5En%3Da%5E%7Bm%2Bn%7D%5D)

On comparing the exponents, we get

Therefore, the value of x is 3.