637х-738=638+973х

To solve the equation \( 637x - 738 = 638 + 973x \), we can follow these steps:

1. Rearrange the equation to get all terms involving \( x \) on one side and constant terms on the other side.

   Start by subtracting \( 973x \) from both sides: \[ 637x - 973x - 738 = 638 \]

   This simplifies to: \[ -336x - 738 = 638 \]

2. Next, add 738 to both sides to isolate the \( x \) term: \[ -336x = 638 + 738 \]

   Combine the constants on the right side: \[ -336x = 1376 \]

3. Now, divide both sides by -336 to solve for \( x \): \[ x = \frac{1376}{-336} \]

4. Simplify the fraction: \[ x = -\frac{1376}{336} \]

   We can simplify this further by finding the greatest common divisor (GCD) of 1376 and 336, which is 16: \[ x = -\frac{1376 \div 16}{336 \div 16} = -\frac{86}{21} \]

Thus, the solution is: \[ x = -\frac{86}{21} \]