Question

How many solutions are there to the equation shown below? Explain your answer.*
12x - 7 = 2 (3x + 5) + 6x - 17

Answer 1

Answer:

  an infinite number

Step-by-step explanation:

The equation simplifies to ...

  12x -7 = 6x +10 +6x -17 . . . eliminate parentheses

  12x -7 = 12x -7  . . . . . . . .  collect terms

  0 = 0 . . . . subtract (12x-7) from both sides

This is true for all values of x. There are an infinite number of solutions.