Sure! Let's solve the equation step-by-step.
The given equation is:
[tex]\[ \frac{1}{8} X = 12,000 \][/tex]
Step 1: Understand the equation.
- The fraction [tex]\(\frac{1}{8}\)[/tex] is multiplied by [tex]\(X\)[/tex] to give 12,000.
Step 2: To isolate [tex]\(X\)[/tex], we need to eliminate the fraction.
- Since [tex]\( \frac{1}{8} \)[/tex] is being multiplied by [tex]\(X\)[/tex], we can do this by multiplying both sides of the equation by 8.
Step 3: Multiply both sides by 8:
[tex]\[ 8 \times \frac{1}{8} X = 8 \times 12,000 \][/tex]
Step 4: Simplify the equation.
- On the left side, [tex]\(8 \times \frac{1}{8}\)[/tex] cancels out to 1, so we are left with just [tex]\(X\)[/tex]:
[tex]\[ X = 8 \times 12,000 \][/tex]
Step 5: Calculate the right side.
[tex]\[ 8 \times 12,000 = 96,000 \][/tex]
So, the value of [tex]\(X\)[/tex] is:
[tex]\[ X = 96,000 \][/tex]
Thus, [tex]\(X = 96,000\)[/tex] is the solution to the equation [tex]\(\frac{1}{8} X = 12,000\)[/tex].
