-5(1-5x)+5(-8x-2)=-4x-8x

expand the terms...

-5+25x -40x-10= ?

then gather the terms one each side,
Post your work, we will help you check it.

I got -5

correct

To solve this equation, you need to simplify both sides of the equation by distributing and combining like terms.

Let's start by distributing the -5 and the 5 to the terms inside the parentheses on the left side of the equation:

-5(1-5x) + 5(-8x-2) = -4x - 8x

Applying the distributive property, we get:

-5 * 1 + (-5 * -5x) + 5 * -8x + 5 * -2 = -4x - 8x

Simplifying further:

-5 + 25x - 40x - 10 = -4x - 8x

Next, we can combine like terms on both sides of the equation:

-5 - 10 + (25x - 40x) = -4x - 8x

Simplifying further:

-15 + (-15x) = -12x

Now, to isolate the variable x, let's move the -15 to the right side of the equation by adding 15 to both sides:

-15 + 15 + (-15x) = -12x + 15

This simplifies to:

-15x = -12x + 15

Finally, to solve for x, let's move the -12x to the left side of the equation by adding 12x to both sides:

-15x + 12x = 15

Simplifying further:

-3x = 15

To solve for x, divide both sides by -3:

(-3x)/(-3) = 15/(-3)

This gives us the final answer:

x = -5