225+(−10t) = 50+15t

t= ?

1 answer

To solve the equation \( 225 + (-10t) = 50 + 15t \), we can first simplify it:

\[ 225 - 10t = 50 + 15t \]

Next, we can move all terms involving \( t \) to one side and constant terms to the other side. Let's add \( 10t \) to both sides:

\[ 225 = 50 + 15t + 10t \]

This simplifies to:

\[ 225 = 50 + 25t \]

Now, subtract \( 50 \) from both sides:

\[ 225 - 50 = 25t \]

This simplifies to:

\[ 175 = 25t \]

Next, divide both sides by \( 25 \):

\[ t = \frac{175}{25} = 7 \]

Thus, the solution is:

\[ \boxed{7} \]