Question

Determine the number of solutions of this equation

x-2(x-6)= -x+12

One solution
Infinitely many solutions
No solution

Answer 1

Infinitely many solutions.

Explanation:

x-2(x-6)= -x+12

x - 2x + 12 = -x + 12

x - 2x + x = 12 - 12

0 = 0.

This means there are infinitely many solution.