how many solutions does the equation have: 8 + 2( x - 6) = -2 + 2x - 2

Answer 1

The equation is: 8 + 2(x-6) = -2 + 2x - 2

First, distribute the 2 on the left side of the equation:
8 + 2x - 12 = -2 + 2x - 2

Combine like terms on the left side:
2x - 4 = 2x - 4

Here, the equation simplifies down to 2x - 4 = 2x - 4.

Now, subtract 2x from both sides to isolate the variable:
-4 = -4

Since -4 = -4, this equation is true for all values of x. Therefore, this equation has infinitely many solutions.