Solve the 2b + 3a − 6 = 0, 3x + 5x = 0

The equation is $2b + 3a - 6 = 0$.
To solve for $b$, first isolate the term with $b$:

$$2b = 6 - 3a$$

Now, divide by 2:

$$b = \frac{6 - 3a}{2}$$

This can also be written as:

$$b = 3 - \frac{3}{2}a$$

Alternatively, to solve for $a$:

$$3a = 6 - 2b$$ $$a = \frac{6 - 2b}{3}$$ $$a = 2 - \frac{2}{3}b$$

Since the problem asks to "solve the" equation without specifying which variable, expressing one in terms of the other is the complete solution.

The equation is $3x + 5x = 0$.
Combine the like terms on the left side:

$$8x = 0$$

Divide both sides by 8:

$$x = \frac{0}{8}$$ $$x = 0$$

The solutions are:
For $2b + 3a - 6 = 0$: $\boxed{b = 3 - \frac{3}{2}a \text{ or } a = 2 - \frac{2}{3}b}$
For $3x + 5x = 0$: $\boxed{x = 0}$