Question

What is the value of x?

Answer 1

x = 4

Explanation:

Use Basic Proportionality Theorem (look at the picture).

Therefore we have the equation:

`(3x-2)/(50)=(6)/(30)\qquad\text{cross multiply}\\\\30(3x-2)=50(6)\qquad\text{use the distributive property}\\\\(30)(3x)+(30)(-2)=300\\\\90x-60=300\qquad\text{add 60 to both sides}\\\\90x=360\qquad\text{divide both sides by 90}\\\\x=4`