To solve the equation \( 25(x + 15) = 26 \), follow these steps:
-
Distribute the 25 on the left side: \[ 25x + 375 = 26 \]
-
Subtract 375 from both sides to isolate the term with \( x \): \[ 25x + 375 - 375 = 26 - 375 \] \[ 25x = 26 - 375 \] \[ 25x = -349 \]
-
Now, divide both sides by 25 to solve for \( x \): \[ x = \frac{-349}{25} \]
-
Convert the division into a decimal (optional): Performing the division: \[ x = -13.96 \]
So the final value of \( x \) is: \[ \boxed{-\frac{349}{25}} \quad \text{or} \quad -13.96 \]