Solve the equation for x.

pi - 8.4 = 0.2(pi + 6)

A.
6
B.
8
C.
9
D.
12

1 answer

First, distribute the 0.2 to both terms inside the parentheses:

0.2(pi + 6) = 0.2*pi + 0.2*6 = 0.2pi + 1.2

Now, subtract 0.2pi from both sides of the equation:

pi - 8.4 - 0.2pi = 0.2pi + 1.2 - 0.2pi

Simplifying both sides:

0.8pi - 8.4 = 1.2

Add 8.4 to both sides:

0.8pi - 8.4 + 8.4 = 1.2 + 8.4

Simplifying both sides:

0.8pi = 9.6

Divide both sides by 0.8 to solve for pi:

pi = 9.6 / 0.8

Simplifying:

pi = 12

Therefore, the value of x is 12.

Answer: D. 12