For this case we have the following expression:
\(3 (x + 10) + 6 = 3 (x + 12)
\)
We must rewrite both sides of the equation.
For this, we use the distributive property.
We have then:
\(3x + 30 + 6 = 3x + 36
\)
Adding similar terms we have:
\(3x + 36 = 3x + 36
\)
We observe that we have two equal equations.
Therefore, the equations intersect for any value of x.
Thus, the equation has infinite solutions.
Answer:
infinitely many
