Does the equation 6x+35=-6x+35 have infinitely many, one or no solution

The equation6x+35=-6x+35 has one solution.

6x+35=-6x+35

+6x + 6x

36x+35=35

-35 - 35

36x=0

There for the only answer is 0.

One solution

Step-by-step explanation:

6x+35=-6x+35

Add 6x to both sides (addition property of equality)

12x+35=35

Subtract 35 from both sides (subtraction property of equality)

12x=0

Divide both sides by 12 (division property of equality)

x=0

Therefore there is only one solution, 0.