Does 0.9x+5.1x-7=2 (2.5x-3) have no solution many solutions or one solution?

This equation has ONE unique solution, which is x = 1.

Step-by-step explanation:

Let's actually solve this equation, 0.9x+5.1x-7=2 (2.5x-3).

Mult. all four terms by 10 to eliminate the fractions:

9x+51x-70=2 (25x-30)

Perform the indicated multiplication:

9x+51x-70 = 50x - 60

Combine like terms: 60x - 70 = 50x - 60 = > 10x = 10, and x = 1

This equation has ONE unique solution, which is x = 1.