Question

What is the value of x in the equation 1/2(x + 6) = 18?

a) x = 15
b) x = 30
c) x = 9
d) x = 12

Answer 1

To solve the equation 1/2(x + 6) = 18 and find the value of x, you need to isolate the variable x. After simplifying the equation and performing the necessary steps, the value of x is found to be 30.

Step-by-step explanation:

To solve the equation 1/2(x + 6) = 18, we need to isolate the variable x.

To do this, we will first distribute the 1/2 to the terms in the parentheses:
1/2 * x + 1/2 * 6 = 18

Simplifying the equation gives:
1/2x + 3 = 18

Next, we will subtract 3 from both sides to isolate the variable x:
1/2x = 15

Finally, we will multiply both sides by 2 to get rid of the fraction:
(1/2x) * 2 = 15 * 2

This gives us: x = 30