To solve the equation [tex]\( \frac{7}{5h} - 6 = 2 \)[/tex] for [tex]\( h \)[/tex], follow these steps:
1. Isolate the fraction:
Start by moving -6 to the right-hand side of the equation:
[tex]\[
\frac{7}{5h} - 6 + 6 = 2 + 6
\][/tex]
Simplifying this gives:
[tex]\[
\frac{7}{5h} = 8
\][/tex]
2. Clear the fraction:
To eliminate the fraction, multiply both sides by [tex]\( 5h \)[/tex]:
[tex]\[
7 = 8 \times 5h
\][/tex]
3. Solve for [tex]\( h \)[/tex]:
Simplify the right-hand side:
[tex]\[
7 = 40h
\][/tex]
Now, isolate [tex]\( h \)[/tex] by dividing both sides by 40:
[tex]\[
h = \frac{7}{40}
\][/tex]
So, the solution for [tex]\( h \)[/tex] is:
[tex]\[
h = \frac{7}{40}
\][/tex]
