Final answer:
To solve the equation, -5x - (-7 - 4x) = -2(3x - 4), simplify the equation by removing parentheses and combining like terms. Then, isolate the variable by performing operations on both sides of the equation. The value of x that satisfies the equation is x = 1/5.
Step-by-step explanation:
To find the value of x that makes the equation -5x - (-7 - 4x) = -2(3x - 4) true, we need to simplify the equation and solve for x. First, we simplify the equation by removing the parentheses and combining like terms. This gives us -5x + 7 + 4x = -6x + 8. Next, we combine like terms again to get -x + 7 = -6x + 8. Now we can solve for x by isolating the variable on one side of the equation. We can do this by subtracting 7 from both sides, which gives us -x = -6x + 1. Then, we add 6x to both sides to get 5x = 1. Finally, we divide both sides by 5 to find that x = 1/5. Therefore, the correct answer is D) x = 1/5.