7x + 2 (-2x + 1) = 29 has one, none, or infinite solutions? explain.

7x + 2 (-2x + 1) = 29

7x - 4x + 2 = 29

7x - 4x = 29 - 2

3x = 27

3x/3 = 27/3

x = 9

The equation has got one solution.

We know that ax = b, in this case 3x = 27

To find x you would follow the rule x = b/a

If a is ≠ 0, then the eqaution is determinated and has one solution!