Question

8x+6=14-4(2-2x)
How many solutions does this problem have?

Answer 1

Let's simplify the equation:

8x + 6 = 14 - 4(2 - 2x)
8x + 6 = 14 - 8 + 8x [Distribute -4]
8x + 6 = 6 + 8x [Combine like terms]

We can see that the equation simplifies to 8x + 6 = 8x + 6. This means that both sides of the equation are equal for all values of x. Therefore, the equation has infinitely many solutions.

Answer 2

infinitely many solutions

Explanation:

This equation can be solved to find a single value of x.

First, let's simplify both sides of the equation:

8x + 6 = 14 - 4(2 - 2x)

8x + 6 = 14 - 8 + 8x

8x + 6 = 6 + 8x

We can see that the variable x is present on both sides of the equation. Subtracting 8x from both sides gives:

6 = 6

This is a true statement, which means that the equation is an identity and holds true for all values of x.

Therefore, the equation has infinitely many solutions.