Question

Solve the equation using the distributive property and properties of equality.

One-half (x + 6) = 18

What is the value of x?
6
7 and one-half
14 and one-half
30

Answer 1

\[\frac{ 1 }{ 2 }(x+6) = 18 \]

so like a first step multiplie both sides by 2 ,what you get what will can you simplifie in this way ?

Answer 2

Simplify:
\(\LARGE\frac{1}{2}(x + 6) = 18\)
Distribute:
\(\LARGE(\frac12)(x)+(\frac12)(6)\)
\(\LARGE =8\)

-3, both sides:
\(\LARGE\frac12x+3−3=18−3\)

\(\LARGE\frac12x=15\)

*2, both sides:
\(\LARGE2*(\frac{1}{2}x)=(2)*(15)\)