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Solve for x

in the equation 811(x+45)=2455
.(1 point)

1 answer

To solve the equation \( 811(x + 45) = 2455 \), follow these steps:

  1. Distribute the 811:

    \[ 811x + 811 \times 45 = 2455 \]

    Calculate \( 811 \times 45 \):

    \[ 811 \times 45 = 36495 \]

    So the equation becomes:

    \[ 811x + 36495 = 2455 \]

  2. Isolate the term with \( x \):

    Subtract \( 36495 \) from both sides:

    \[ 811x = 2455 - 36495 \]

    Calculate \( 2455 - 36495 \):

    \[ 2455 - 36495 = -34040 \]

    Now the equation is:

    \[ 811x = -34040 \]

  3. Solve for \( x \):

    Divide both sides by \( 811 \):

    \[ x = \frac{-34040}{811} \]

    Now calculate \( \frac{-34040}{811} \):

    \[ x \approx -42 \]

Thus, the solution is:

\[ \boxed{-42} \]