Answer:
x = 3.
Explanation:
To solve this equation, we first need to get all the terms containing the variable x on one side of the equation and all the constants on the other side. We can do this by adding 8 to both sides of the equation. This will give us:
$$-(7x-8) + 8 = 2-5x + 8$$
Next, we can simplify the left side of the equation by combining the two terms:
$$-7x + 8 + 8 = 2-5x + 8$$
This gives us:
$$-7x + 16 = 2-5x + 8$$
Now, we need to get all the x terms on one side and all the constants on the other side. We can do this by adding 5x to both sides of the equation:
$$-7x + 16 + 5x = 2-5x + 8 + 5x$$
This gives us:
$$-2x + 16 = 2 + 8$$
We can simplify the left side of the equation by combining the two terms:
$$-2x + 16 = 10$$
Now, we need to get all the x terms on one side and all the constants on the other side. We can do this by subtracting 16 from both sides of the equation:
$$-2x + 16 - 16 = 10 - 16$$
This gives us:
$$-2x = -6$$
To solve for x, we need to divide both sides of the equation by -2:
$$\frac{-2x}{-2} = \frac{-6}{-2}$$
This gives us:
$$x = 3$$
Therefore, the solution to the original equation is x = 3.