Respuesta :

The value of X = 11

Step - by - Step Explanation

What to find? The value of x

To find the value of X, take the ratio of the sides.

[tex]\frac{2x+6}{32}=\frac{52.5}{60}[/tex]

Cross -multiply.

[tex]60(2x+6)=52.5(32)[/tex][tex]60(2x+6)=1680[/tex]

Divide both-side of the equation by 60.

[tex]\frac{\cancel{60}(2x+6)}{\cancel{60}}=\frac{1680}{60}[/tex]

2x + 6 = 28

Subtract 6 from both-side of the equation.

2x + 6 - 6 = 28 - 6

2x =22

Divide both-side of the equation by 2.

[tex]\frac{\cancel{2}x}{\cancel{2}}=\frac{22}{2}[/tex]

x = 11

Hence, the value of X = 11