How many solutions does this equation have? 6x − 6/ 3 = 2x − 2 A) no solution B) exactly one solution C) exactly two solutions D) infinitely many solutions

B

Step-by-step explanation:

6x - 6/3 = 2x - 2

6x - 2 = 2x - 2

6x - 2 + 2 = 2x - 2 + 2

6x = 2x

6x - 2x = 0

4x = 0

Divide both sides by 4

4x/4 = 0/4

x = 0

The equation has exactly one solution.

Reasons are that it is an algebraic linear equation where the unknown variable, x has highest power as 1.

Also after solving for x, we see that we got only one value or solution for x

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

step-by-step explanation: