<span>(1)
2(x - 3) = 2x -- distribute through the parenthesis
2x - 6 = 2x -- add 6 to both sides
2x = 2x + 6 -- subtract 2x from both sides
2x - 2x = 6
0 = 6 (incorrect)
If you answer comes out not equal, then there is no solution
(2)
</span>3(y - 3) = 2y - 9 + y -- distribute and combine
3y - 9 = 3y - 9 -- subtract 3y
3y - 3y - 9 = - 9 -- add 9
3y - 3y = -9 + 9
0 = 0 (correct)
If you answer comes out equal, then there is infinite solutions
<span>
(3)
</span>10x - 2 - 6x = 3x - 2 + x -- combine like terms 4x - 2 = 4x - 2
same thing here...it is gonna come out to 0 = 0 making it have infinite solutions
(4)
<span>4(x + 3) + 2x = x - 8
4x + 12 + 2x = x - 8
6x + 12 = x - 8
6x - x = -8 - 12
5x = - 20
x = -4
ONE SOLUTION</span>
