Solve for x: 2 over 3 equals 8 over quantity x plus 6

Question

asked Aug 23, 2020 49.8k views

2 Answers

Sergionni · Answer 1 · 2020-08-28T20:19:54+0000

Answer: x= 6

Explanation:

Given equation :
(2)/(3)=(8)/((x+6))

To solve the above equation, first we multiply 3(x+6) on both sides , then we get

3(x+6)*(2)/(3)=3(x+6)*(8)/((x+6))

$\Rightarrow\ (x+6)*2=3*8$

Using distribution property :
(b+c)a=ba+ca

we get

$\Rightarrow\ (x)(2)+(6)(2)=24$

$\Rightarrow\ 2x+12=24$

Subtract 12 from both sides , we get

$\Rightarrow\ 2x=12$

Divide both sides by 2 , we get

x=6

Hence, the value of x= 6 .