Certainly! Let's solve the equation given in step 5.
Given equation:
[tex]\[ \frac{x}{10} - 7 = 6 \][/tex]
Step-by-Step Solution:
1. Isolate the term with the variable [tex]\(x\)[/tex]:
To isolate [tex]\(\frac{x}{10}\)[/tex], we first need to eliminate the -7 on the left side. We do this by adding 7 to both sides of the equation.
[tex]\[ \frac{x}{10} - 7 + 7 = 6 + 7 \][/tex]
Simplifying this gives us:
[tex]\[ \frac{x}{10} = 13 \][/tex]
2. Solve for [tex]\(x\)[/tex]:
Now we need to eliminate the fraction. The fraction has a denominator of 10, so to solve for [tex]\(x\)[/tex], we multiply both sides of the equation by 10:
[tex]\[ \left( \frac{x}{10} \right) \cdot 10 = 13 \cdot 10 \][/tex]
This simplifies to:
[tex]\[ x = 130 \][/tex]
Therefore, the solution to the equation [tex]\(\frac{x}{10} - 7 = 6\)[/tex] is:
[tex]\[ x = 130 \][/tex]
