Question

3 - 5x + 5 = 6 - 4x

Answer 1

$3 - 5x + 5 = 6 - 4x \\ 8 - 5x = 6 - 4x \\ - 5x + 4x = 6 - 8 \\ - x = - 2 \\ x = 2$

Answer 2

To solve the given equation, we need to isolate the variable x on one side of the equation. Let's go through the steps:

1. First, combine like terms on each side of the equation:

On the left side, we have: 5 - 5x On the right side, we have: 6 - 4x

So the equation becomes: 5 - 5x = 6 - 4x

2. Next, let's move all terms with x to one side of the equation by adding 4x to both sides:

(5 - 5x) + 4x = (6 - 4x) + 4x

Simplifying, we get: 5 - 5x + 4x = 6

3. Now, combine the x terms on the left side:

(5 - 5x + 4x) = 6

The -5x and +4x on the left side cancel each other out, leaving us with:

5 - x = 6

4. Finally, isolate x by moving the constant term to the other side by subtracting 5 from both sides:

(5 - x) - 5 = 6 - 5

Simplifying, we get:

-x = 1

5. To get the value of x, multiply both sides by -1 (to get rid of the negative sign in front of x):

-x * (-1) = 1 * (-1)

This simplifies to:

x = -1

So the solution to the equation is x = -1.