Final answer:
To solve the equation -2(3x - 5) - 2x = 2(6 - 3x), simplify and solve for x, the solution is x = -1.
Step-by-step explanation:
To solve the equation -2(3x - 5) - 2x = 2(6 - 3x), we will simplify and solve for x.
Step 1: Distribute and simplify both sides of the equation.
-6x + 10 - 2x = 12 - 6x
-8x + 10 = 12 - 6x
Step 2: Combine like terms.
-8x + 10 = -6x + 12
Step 3: Move all terms with x to one side of the equation.
-8x + 6x = 12 - 10
-2x = 2
Step 4: Divide both sides by -2.
x = -1