To solve the equation [tex]\(\frac{1}{2} x = 20\)[/tex] for [tex]\(x\)[/tex], we follow these steps:
1. Identify the current form of the equation: The equation is [tex]\(\frac{1}{2} x = 20\)[/tex], which means [tex]\(\frac{1}{2}\)[/tex] multiplied by [tex]\(x\)[/tex] equals 20.
2. Isolate the variable [tex]\(x\)[/tex]: To isolate [tex]\(x\)[/tex], we need to get rid of the fraction [tex]\(\frac{1}{2}\)[/tex]. We can do this by multiplying both sides of the equation by the reciprocal of [tex]\(\frac{1}{2}\)[/tex]. The reciprocal of [tex]\(\frac{1}{2}\)[/tex] is 2.
3. Multiply both sides by 2:
[tex]\[
\left(\frac{1}{2} x\right) \cdot 2 = 20 \cdot 2
\][/tex]
4. Simplify the equation:
[tex]\[
x = 40
\][/tex]
Thus, the solution to the equation [tex]\(\frac{1}{2} x = 20\)[/tex] is [tex]\(x = 40\)[/tex].
