Solve the equation for x.

4 left parenthesis x plus 8 right parenthesis plus 5 equals 37
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Part 1
x equals
  
enter your response here  ​(Type an integer or a fraction. Simplify your​ answer.)

1 answer

To solve the equation \( 4(x + 8) + 5 = 37 \), we will follow these steps:

  1. Distribute the 4: \[ 4(x + 8) = 4x + 32 \] So the equation becomes: \[ 4x + 32 + 5 = 37 \]

  2. Combine like terms: \[ 4x + 37 = 37 \]

  3. Subtract 37 from both sides: \[ 4x = 37 - 37 \] \[ 4x = 0 \]

  4. Divide by 4: \[ x = 0 \]

So the solution is: \[ \boxed{0} \]