how many solutions does 7x + 2 = 3x -6 have

Answer 1

To determine the number of solutions for the equation 7x + 2 = 3x - 6, we can simplify it by subtracting 3x from both sides:

7x - 3x + 2 = 3x - 3x - 6.

Simplifying further:

4x + 2 = -6.

Next, we subtract 2 from both sides:

4x + 2 - 2 = -6 - 2,

4x = -8.

Finally, we divide both sides by 4:

4x/4 = -8/4,

x = -2.

Thus, the equation has only one solution, which is x = -2.