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

One solution

Infinitely many solutions

A)5x−7=5x

B)3x−9=3(x−3)

C)2x−6=−2(x−3)

D)2x+6−5x=−3(x

Step-by-step explanation:

A)  5x - 7 = 5x becomes -7 = 0 if 5x is subtracted from both sides.  This result is never true, so NO SOLUTION

B)3x−9=3(x−3)   Performing the indicated multiplication, we get

3x - 9 = 3x - 9.  This is always true, so there are INFINITELY MANY SOLUTIONS

C)2x−6=−2(x−3)   Performing the indicated multiplication, we get

2x - 6 = -2x + 6.  Adding 2x - 6 to both sides results in

4x - 12 = 0, or 4x = 12.  Thus, the solution is x = 3.  ONE SOLUTION

D)2x+6−5x=−3(x             This equation is incomplete