Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( a = 9 \)
Solution
To solve the equation 5(a + 6) = 3(a + 16), follow these steps:
1. Expand both sides by distributing:
• Left side: 5a + 30
• Right side: 3a + 48
So now the equation is: 5a + 30 = 3a + 48
2. Isolate the variable terms on one side by subtracting 3a from both sides:
5a - 3a + 30 = 48
which simplifies to: 2a + 30 = 48
3. Next, subtract 30 from both sides to solve for 2a:
2a = 48 - 30
2a = 18
4. Finally, divide both sides by 2:
a = 18 / 2
a = 9
The solution to the equation is a = 9.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
Let's solve the equation step by step! First, we distribute on both sides: \[ 5a + 30 = 3a + 48 \] Next, we want to get all terms involving \( a \) on one side and the constant terms on the other side. Let's subtract \( 3a \) from both sides: \[ 5a - 3a + 30 = 48 \] This simplifies to: \[ 2a + 30 = 48 \] Now, let's isolate \( 2a \) by subtracting 30 from both sides: \[ 2a = 48 - 30 \] This simplifies to: \[ 2a = 18 \] Finally, divide both sides by 2: \[ a = 9 \] So, the solution to the equation \( 5(a+6)=3(a+16) \) is \( a = 9 \)!
