Hey there!!
Given:
... (12x/2)-4=2(3x-2)
The properties we will need to use:
- The distributive property
- Addition property of equality
- Subtraction property of equality
- Multiplication property of equality
Now, using the distribution property of :
... Now, after using the distributive property:
... (12x/2) - 4 = 6x - 4
...Now, using the addition property of equality:
... Adding 4 on both sides:
... 12x/2=6x-4+4
... 12x/2=6x
... Now, using the multiplication property of equality:
... Multiplying 2 on both sides:
... 12x=12x
Hence, this equation has infinite solutions.
Hope my answer helps!