Final answer:
To solve the equation -2 (3x-1.5) = -2 + (-4x-4), you can follow these steps: distribute, combine like terms, isolate the variable, and solve for x. The solution is x = -3/2.
Step-by-step explanation:
To solve the equation -2 (3x-1.5) = -2 + (-4x-4), we need to simplify and solve for x.
Step 1: Distribute the -2 to the terms inside the parentheses: -6x + 3 = -2 + (-4x-4).
Step 2: Combine like terms on both sides: -6x + 3 = -2 - 4x - 4.
Step 3: Combine like terms: -6x + 3 = -6x - 6.
Step 4: Add 6x to both sides to isolate the variable: 3 + 6x = -6.
Step 5: Subtract 3 from both sides: 6x = -9.
Step 6: Divide both sides by 6 to solve for x: x = -9/6 = -3/2.
Therefore, the solution to the equation is x = -3/2.