a. 6x + 4x - 6 = 24 + 9x
Combine like terms.
10x - 6 = 24 + 9x
Add 6 to both sides.
10x = 30 + 9x
Subtract 9x from both sides.
There is one solution, and it is equal to 30.
b. 25 - 4x = 15 - 3x + 10 - x
Combine like terms.
25 - 4x = 25 - 4x
Cancel like terms.
There are infinite solutions, as both lines are the same.
c. 4x + 8 = 2x + 7 + 2x - 20
Combine like terms.
4x + 8 = 4x - 13
Cancel like terms.
There are no solutions, and the equation is false.
Lines are parallel.