How many solutions does the following equation have? 2(3x+5) = 2(2x-3)+2x
The equation is:
2(3x+5) = 2(2x-3) + 2x
Expanding the left side gives:
6x + 10 = 4x - 6 + 2x
Combining like terms gives:
6x + 10 = 6x - 6
Subtracting 6x from both sides gives:
10 = -6
This statement is clearly false. Therefore, the equation has no solutions.