Final answer:
To solve the equation 4x - 2(x + 1) = 3x + 10, distribute the -2, combine like terms, move the variable terms, simplify, and solve for x.
The solution is x = -12.
Option b (-12) is the correct answer.
Step-by-step explanation:
Solving for x:
Start by distributing the -2 to the terms inside the parentheses:
4x - 2x - 2 = 3x + 10.
Combine like terms on both sides of the equation: 2
x - 2 = 3x + 10.
Move the variable terms to one side of the equation and the constants to the other side:
2x - 3x = 10 + 2.
Simplify the equation:
-x = 12.
Divide both sides of the equation by -1 to solve for x:
x = -12.
Therefore, the solution to the equation is x = -12.