Question

Hi, umm pls help 1/6(x-5)=1/2(x+6), solve for x And can you please explain

Answer 1

Answer:

By solving the equation $\frac{1}{6}(x-5)=\frac{1}{2}(x+6)$ we found that   $x=\frac{23}{2} \text { or }=11 \frac{1}{2}$

Explanation:  

Given equation,

$\frac{1}{6}(x-5)=\frac{1}{2}(x+6)$ to find x  

Step: 1 Cross multiply the denominators 2(x-5)=6(x+6)  

Step: 2 Open brackets and simplify the term 2x-10=6x+36  

Step: 3 Bring x terms on one side and simplify the equation the equation obtained is following,  

2x-6x=36+10

 -4x=46  

$-x=\frac{46}{4}=\frac{23}{2}=11 \frac{1}{2}$

Therefore, we solved x value from the given equation $\frac{1}{6}(x-5)=\frac{1}{2}(x+6)$ as $x=\frac{23}{2} \text { or }=11 \frac{1}{2}$.