To solve for [tex]\(x\)[/tex] in the equation where [tex]\(\frac{x}{30} = 0.4\)[/tex], we need to follow a few simple algebraic steps. Here's the detailed, step-by-step solution:
1. First, understand that [tex]\(0.4\)[/tex] represents a decimal form of [tex]\(40\%\)[/tex]. Therefore, the equation given is:
[tex]\[
\frac{x}{30} = 0.4
\][/tex]
2. To isolate [tex]\(x\)[/tex], we need to get rid of the denominator. We can do this by multiplying both sides of the equation by [tex]\(30\)[/tex]. This step will eliminate the fraction:
[tex]\[
x = 30 \times 0.4
\][/tex]
3. Now, simply perform the multiplication on the right-hand side:
[tex]\[
x = 12
\][/tex]
So, the value of [tex]\(x\)[/tex] is:
[tex]\[
x = 12
\][/tex]
