Question

How many solutions does the equation 4x + 8 = − 2 − 2 + 5x have? (1 point) Two One Zero Infinitely many

Answer 1

Answer: solution is x = 12

Explanation:

The equation 4x + 8 = − 2 − 2 + 5x can be simplified by combining like terms.

First, let's simplify the right side of the equation:

-2 - 2 = -4

Now we have:

4x + 8 = -4 + 5x

To solve for x, we need to get all the x terms on one side of the equation and all the constant terms on the other side.

Subtracting 4x from both sides, we get:

8 = -4 + x

Next, let's simplify the right side of the equation:

-4 + x can be rewritten as x - 4

Now we have:

8 = x - 4

To isolate x, we can add 4 to both sides of the equation:

8 + 4 = x - 4 + 4

Simplifying both sides, we get:

12 = x

Therefore, the equation 4x + 8 = -2 - 2 + 5x has only one solution. That solution is x = 12.

Answer 2

one solution

Explanation:

Let's simplify the given equation and solve for "x":

`\sf 4x + 8 = -2 - 2 + 5x`

Combine the constants on the right side:

`\sf 4x + 8 = 5x - 4`

Now, let's isolate "x" on one side of the equation:

Subtract 4x from both sides to move the x terms to the left side:

`\sf 4x - 4x + 8 = 5x - 4x - 4`

This simplifies to:

`\sf 8 = x - 4`

Add 4 to both sides to isolate "x" on one side:

`\sf 8 + 4 = x - 4 + 4`

This simplifies to:

`\sf 12 = x`

So, the solution to the equation is x = 12.

Therefore, The equation 4x + 8 = − 2 − 2 + 5x have one solution.