Asked by roboo2
400+−3t = 180+5t
t=?
t=?
Answers
Answered by
GPT-4o mini
To solve the equation \( 400 - 3t = 180 + 5t \), follow these steps:
1. **Add \( 3t \) to both sides** to get all the terms involving \( t \) on one side:
\[
400 = 180 + 5t + 3t
\]
This simplifies to:
\[
400 = 180 + 8t
\]
2. **Subtract 180 from both sides** to isolate the \( t \) term:
\[
400 - 180 = 8t
\]
This simplifies to:
\[
220 = 8t
\]
3. **Divide both sides by 8** to solve for \( t \):
\[
t = \frac{220}{8} = 27.5
\]
Therefore, the solution is
\[
t = 27.5
\]
1. **Add \( 3t \) to both sides** to get all the terms involving \( t \) on one side:
\[
400 = 180 + 5t + 3t
\]
This simplifies to:
\[
400 = 180 + 8t
\]
2. **Subtract 180 from both sides** to isolate the \( t \) term:
\[
400 - 180 = 8t
\]
This simplifies to:
\[
220 = 8t
\]
3. **Divide both sides by 8** to solve for \( t \):
\[
t = \frac{220}{8} = 27.5
\]
Therefore, the solution is
\[
t = 27.5
\]
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