We are given the following expression:
[tex]-u-\frac{1}{2}=\frac{7}{5}u-\frac{3}{5}[/tex]We are asked to solve for "u". To do that we will first subtract 7u/5 on both sides:
[tex]-u-\frac{7}{5}u-\frac{1}{2}=\frac{7}{5}u-\frac{3}{5}-\frac{7}{5}u[/tex]Solving the operations:
[tex]-\frac{12}{5}u-\frac{1}{2}=-\frac{3}{5}[/tex]Now we add 1/2 on both sides:
[tex]-\frac{12}{5}u-\frac{1}{2}+\frac{1}{2}=-\frac{3}{5}+\frac{1}{2}[/tex]Solving the operations:
[tex]-\frac{12}{5}u=-\frac{1}{10}[/tex]Now we multiply both sides by 5
[tex]-12u=-\frac{1}{10}(5)[/tex]Simplifying the fraction to the right:
[tex]-12u=-\frac{1}{2}[/tex]Now we divide by -12
[tex]u=(-\frac{1}{12})(-\frac{1}{2})[/tex]Solving the operations we get:
[tex]u=\frac{1}{24}[/tex]Therefore the result of solving for "u" is: u = 1/24