Respuesta :

Answer:

infinite number of solutions

Step-by-step explanation:

Given

6x + 12 = 2(3x + 6) ← distribute

6x + 12 = 6x + 12

Since expressions on both sides are the same then any value of x will be a solution to the equation. Thus there are an infinite number of solutions.

The solutions of the equation comprises of any value which x can take.

According to the question;

  • Kaylee writes the equation 6x+12=2 (3x+6)

  • We are required to find the number of solutions this equation has without solving for x.

By expansion of the parenthesis on the right-hand side of the equation; we have;

  • 6x+12=2 (3x+6)

  • 6x + 12 = 6x + 12.

Since, the right-hand side and left-hand side of the equation are equal;

Ultimately, the solutions of the equation comprises of any value of x.

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