Question

5/8m - 3/8 = 1/2m + 7/8 

solve

Answer 1

$\frac{5}{8m}-\frac{3}{8}=\frac{1}{2m}+\frac{7}{8} \\\\ \frac{5}{8m}-\frac{1}{2m}^{(4}=\frac{7}{8}+\frac{3}{8} \\\\ \frac{5-4}{8m}=\frac{10}{8} \\\\ \frac{1}{8m}=\frac{10}{8} \\\\ 8m=\frac{8*1}{10} \\\\ m=\frac{8}{10}*\frac{1}{8} \\\\ \boxed{m=\frac{1}{10}}$

Answer 2

$\frac{5}{8}m-\frac{3}{8}=\frac{1}{2}m+\frac{7}{8}\ \ \ \ |multiply\ both\ sides\ by\ 8\\\\8\times\frac{5}{8}m-8\times\frac{3}{8}=8\times\frac{1}{2}m+8\times\frac{7}{8}\\\\5m-3=4m+7\ \ \ \ \ |add\ 3\ to\ both\ sides\\\\5m=4m+10\ \ \ \ \ |subtract\ 4m\ from\ both\ sides\\\\\boxed{m=10}$