Question

solve for u.
2(u + 5) = -3(7u - 5) + 8u
simplify your answer as much as possible.
u =

Explanation:

Step1: Expand both sides

Left side: \(2(u + 5)=2u+10\)
Right side: \(-3(7u - 5)+8u=-21u + 15+8u=-13u + 15\)
So the equation becomes \(2u + 10=-13u+15\)

Step2: Add \(13u\) to both sides

\(2u+13u + 10=-13u+13u+15\)
\(15u + 10=15\)

Step3: Subtract 10 from both sides

\(15u+10 - 10=15 - 10\)
\(15u=5\)

Step4: Divide both sides by 15

\(u=\frac{5}{15}=\frac{1}{3}\)

Answer:

\(\frac{1}{3}\)