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11minus4​(aplus2​)equals8plusa

1 answer

To solve the equation \( 11 - 4(a + 2) = 8 + a \), we can follow these steps:

  1. Distribute \( -4 \) on the left side: \[ 11 - 4a - 8 = 8 + a \]

  2. Combine like terms on the left side: \[ 3 - 4a = 8 + a \]

  3. Add \( 4a \) to both sides to isolate the variable: \[ 3 = 8 + 5a \]

  4. Subtract \( 8 \) from both sides: \[ 3 - 8 = 5a \] \[ -5 = 5a \]

  5. Divide both sides by \( 5 \): \[ a = -1 \]

Therefore, the solution to the equation is \( a = -1 \).