Question

375+(−5t) = 25+2t

t=

Answer 1

To solve the equation \( 375 + (-5t) = 25 + 2t \), we can start by simplifying and rearranging the terms.

1. Rewrite the equation:
\[
375 - 5t = 25 + 2t
\]

2. Next, add \( 5t \) to both sides to eliminate \( -5t \) from the left side:
\[
375 = 25 + 2t + 5t
\]
This simplifies to:
\[
375 = 25 + 7t
\]

3. Now, subtract \( 25 \) from both sides:
\[
375 - 25 = 7t
\]
\[
350 = 7t
\]

4. Finally, divide both sides by \( 7 \) to solve for \( t \):
\[
t = \frac{350}{7} = 50
\]

Thus, the solution is:
\[
t = 50
\]