Question

solve for u.
\\(-\frac{5}{2}u - \frac{6}{5} = \frac{3}{2}u - 5\\)
simplify your answer as much as possible.
\\(u = \\)

Explanation:

Step1: Move terms with u to one side

Add $\frac{5}{2}u$ to both sides: $-\frac{6}{5}=\frac{3}{2}u+\frac{5}{2}u - 5$
Simplify right side: $-\frac{6}{5}=4u - 5$

Step2: Isolate the term with u

Add 5 to both sides: $5-\frac{6}{5}=4u$
Convert 5 to $\frac{25}{5}$: $\frac{25}{5}-\frac{6}{5}=4u$
Simplify: $\frac{19}{5}=4u$

Step3: Solve for u

Divide both sides by 4: $u=\frac{19}{5}\div4=\frac{19}{5}\times\frac{1}{4}=\frac{19}{20}$

Answer:

$\frac{19}{20}$