To solve the equation $2 - (3x + 5) = 4(x + 1)$, follow these steps:

Step 1: Distribute and Simplify

Expand the equation: $2 - 3x - 5 = 4x + 4$

Combine like terms on the left side: $-3x - 3 = 4x + 4$

Step 2: Rearrange the Equation

Move all terms involving $x$ to one side and constant terms to the other: $-3x - 4x = 4 + 3$

Simplify: $-7x = 7$

Step 3: Solve for $x$

$x = -1$

Solution

The solution is: $\boxed{x = -1}$

Would you like more details or have any questions?

Related Questions

1. How would the solution change if the equation was $2 - (3x - 5) = 4(x + 1)$?
2. What is the solution to $2 - (3x + 5) = 4(x - 1)$?
3. How do you solve equations with variables on both sides, like $5x - 3 = 2x + 9$?
4. What happens if you multiply both sides of an equation by a negative number?
5. How do you check if the solution of an equation is correct?

Tip

Always simplify equations step by step and combine like terms early to avoid mistakes.