4х-(6х+5) =3+2х

To solve the equation \( 4x - (6x + 5) = 3 + 2x \), follow these steps:

1. Distribute the negative sign on the left side: \[ 4x - 6x - 5 = 3 + 2x \]

2. Combine like terms on the left side: \[ (4x - 6x) - 5 = 3 + 2x \] \[ -2x - 5 = 3 + 2x \]

3. Add \( 2x \) to both sides to get all \( x \) terms on one side: \[ -2x + 2x - 5 = 3 + 2x + 2x \] \[ -5 = 3 + 4x \]

4. Subtract 3 from both sides: \[ -5 - 3 = 4x \] \[ -8 = 4x \]

5. Divide by 4 to solve for \( x \): \[ x = \frac{-8}{4} \] \[ x = -2 \]

Thus, the solution is \( x = -2 \).