Question

How many solutions does the
equation have?
8 + 3(x − 6) = −2 + 3x − 4

Answer 1

so how many solutions

Answer 2

5. How many solutions does the
equation have?
8 + 2(x − 6) = −2 + 2x − 2

Answer 3

The equation given is:

8 + 3(x − 6) = −2 + 3x − 4

Expanding the expression on the left side:

8 + 3x - 18 = -2 + 3x - 4
3x - 10 = 3x - 6

Since the variables on both sides are the same, the equation does not have any solution. This is also evident from the fact that if you subtract 3x from both sides, the equation becomes -10 = -6 which is not true.

Answer 4

The equation has no solutions.

Answer 5

Let's simplify the equation:

8 + 2(x − 6) = −2 + 2x − 2
8 + 2x - 12 = -2 + 2x - 2
2x - 4 = 2x - 4

Since the variables on both sides are the same, the equation is an identity and is therefore true for all values of x. This means that the equation has infinitely many solutions.