Question
for \( u \) \( 2(u+9)=-5 u-3 \) lify your answer as
Ask by Christensen Wright. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( u = -3 \)
Solution
Solve the equation \( 2(u+9)=-5u-3 \).
Solve the equation by following steps:
- step0: Solve for \(u\):
\(2\left(u+9\right)=-5u-3\)
- step1: Expand the expression:
\(2u+18=-5u-3\)
- step2: Move the expression to the left side:
\(2u+5u=-3-18\)
- step3: Add and subtract:
\(7u=-3-18\)
- step4: Add and subtract:
\(7u=-21\)
- step5: Divide both sides:
\(\frac{7u}{7}=\frac{-21}{7}\)
- step6: Divide the numbers:
\(u=-3\)
The solution to the equation \(2(u+9)=-5u-3\) is \(u=-3\).
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Simplify this solution Bonus Knowledge
First, let’s simplify the equation step by step! Start by distributing the \(2\) to both terms in the parentheses: \(2u + 18 = -5u - 3\). Now, let's get all the \(u\) terms on one side and constant terms on the other. Add \(5u\) and subtract \(18\) from both sides, leading you to \(7u = -21\). Divide both sides by \(7\) to find \(u = -3\). Now, this little gem, \( u = -3 \), is the solution to our equation! Don't forget to check by plugging it back into the original equation to ensure both sides are equal—it's like a hidden treasure hunt!
