Using properties of equalities, find the solution to the equation 37x+67−2x=4

.(1 point)
Responses

−2
negative 2

−22
negative 22

22
22

2

1 answer

To solve the equation \( 37x + 67 - 2x = 4 \), we can start by simplifying the left-hand side.

  1. Combine like terms: \[ 37x - 2x + 67 = 4 \] This simplifies to: \[ 35x + 67 = 4 \]

  2. Next, subtract 67 from both sides: \[ 35x = 4 - 67 \] \[ 35x = -63 \]

  3. Now, divide both sides by 35: \[ x = \frac{-63}{35} \]

  4. Simplify the fraction: \[ x = \frac{-63 \div 7}{35 \div 7} = \frac{-9}{5} \]

The value \( x = -\frac{9}{5} \) does not match any options you've given. However, you might want to check your options because based on what is provided, none correspond to \( -\frac{9}{5} \).

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