Question

What is value of x? Enter your answer in the box. x =

Answer 1

Answer:

x = 27

Step-by-step explanation:

(x+8) / 10 = (2x - 5) / 14

Cross multiply

10(2x - 5) = 14(x + 8)

20x - 50 = 14x + 112

6x = 162

 x = 27

Answer 2

Answer:

x = 27

Step-by-step explanation:

Look at the picture.

If ABC is any triangle and AD bisects (cuts in half) the angle BAC, then

$\dfrac{AB}{BD}=\dfrac{AC}{DC}$

In our triangle we have the proportion:

$\dfrac{x+8}{10}=\dfrac{2x-5}{14}\qquad\text{cross multiply}\\\\14(x+8)=10(2x-5)\qquad\text{use distributive property}\ a(b+c)=ab+ac\\\\(14)(x)+(14)(8)=(10)(2x)+(10)(-5)\\\\14x+112=20x-50\qquad\text{subtract 112 from both sides}\\\\14x=20x-162\qquad\text{subtract 20x from both sides}\\\\-6x=-162\qquad\text{divide both sides by (-6)}\\\\x=27$