Tell whether each equation has one solution, infinitely many solutions, or no solution.

a. 6x + 8 = 6(x + 2)
b. 10x = 15 + 5x
c. x + 11 = 8x + 11 - 7x

1 answer

a. 6x+8 = 6(x+2)
6x+8 = 6x+12
8 = 12
There is no value of x which will make that true. So, no solution.

Now try the others. See whether there is a solution (solve normally), or whether the final sentence is true regardless of the value of x.