Final answer:
To solve for x in the equation -5x - (-7 - 4x) = -2 (3x - 4), we simplify and combine like terms, distribute negative signs, and then isolate and solve for x, resulting in x = 0.2.
Step-by-step explanation:
To find the value of x in the equation -5x - (-7 – 4x) = –2 (3x – 4), first simplify the parentheses on both sides. Start with the left side by distributing the negative sign inside the parenthesis:
-5x + 7 + 4x = -2(3x - 4)
Combine like terms on the left side:
-x + 7 = -2(3x - 4)
Now distribute -2 on the right side of the equation:
-x + 7 = -6x + 8
Add x to both sides to start isolating the variable:
-x + x + 7 = -6x + x + 8
This simplifies to:
7 = -5x + 8
Then subtract 8 from both sides:
7 - 8 = -5x + 8 - 8
-1 = -5x
Divide both sides by -5 to solve for x:
x = -1 / -5
x = 0.2
So, the value of x is 0.2.