Viktoriya solved an equation as shown below 5(x-2)-3x=2(x-3)-16 5x-10-3x=2x-6-16 2x-10=2x-22 -10=-22 She says that the equation has infinitely many solutions. Which describes Viktoriya's error?

For this case we have the following equation: [tex]5 (x-2) -3x = 2 (x-3) -16[/tex]The steps used by Viktoriya to solve are: Step 1: Distributive property: [tex]5x-10-3x = 2x-6-16[/tex]Step 2: Combine similar terms: [tex]2x-10 = 2x-22[/tex]Step 3: Simplify: [tex]-10 = -22[/tex]Viktoriya's error is in the conclusion of the problem. The equation has no solution, because: Left side ≠ right side Answer: Viktoriya's error is: the equation has infinitely many solutions.