To solve the equation [tex]\(0.5x = 16\)[/tex] for [tex]\(x\)[/tex], we can use the division property of equality. Here are the steps:
1. Start with the given equation:
[tex]\[
0.5x = 16
\][/tex]
2. Isolate the variable [tex]\(x\)[/tex]:
To isolate [tex]\(x\)[/tex], we need to get rid of the coefficient 0.5 that is multiplying [tex]\(x\)[/tex]. We can do this by dividing both sides of the equation by 0.5.
3. Perform the division on both sides:
[tex]\[
x = \frac{16}{0.5}
\][/tex]
4. Calculate the right-hand side:
Now, we need to divide 16 by 0.5.
[tex]\[
\frac{16}{0.5} = 32
\][/tex]
Therefore, the value of [tex]\(x\)[/tex] is:
[tex]\[
x = 32
\][/tex]
