Solve for x: -2(x – 5) + 7 = x – 8 – 5x

X=-25/2

x=-11

To solve for x, we can start by simplifying both sides of the equation.

Let's simplify the equation step by step:

-2(x - 5) + 7 = x - 8 - 5x

First, distribute the -2 to the expression inside the parentheses:
-2x + 10 + 7 = x - 8 - 5x

Combine like terms:

-2x + 17 = -4x - 8

Next, let's simplify further by getting rid of the variable terms on one side of the equation. We can do this by adding 4x to both sides, as well as subtract 17 from both sides:

-2x + 4x + 17 = -4x + 4x - 8

2x + 17 = -8

Now, we can isolate the x term by subtracting 17 from both sides:

2x + 17 - 17 = -8 - 17

2x = -25

Finally, to solve for x, divide both sides by 2:

2x/2 = -25/2

x = -25/2

So, the value of x that satisfies the equation is x = -25/2.