Question

− 4 x + 2 ( x + 4 ) = −4x+2(x+4)= − 7 x − ( x + 1 ) −7x−(x+1)

Answer 1

Answer: The solution to the equation
`\(-4x + 2(x + 4) = -7x - (x + 1)\) is \(x = -(3)/(2)\)`.

Explanation:

To solve the equation
`\(-4x + 2(x + 4) = -7x - (x + 1)\)`, you can follow these steps:

1. Expand the terms inside the parentheses:

`\[ -4x + 2x + 8 = -7x - x - 1 \]`

2. Combine like terms on both sides:

`\[ -2x + 8 = -8x - 1 \]`

3. Move all terms to one side to set the equation to zero:

`\[ -2x + 8x = -8 - 1 \] \[ 6x = -9 \]`

4. Solve for
`\(x\)`:

`\[ x = -(9)/(6) \] \[ x = -(3)/(2) \]`

So, the solution to the equation
`\(-4x + 2(x + 4) = -7x - (x + 1)\) is \(x = -(3)/(2)\)`.