35х+22х=456

To solve the equation \( 35x + 22x = 456 \), first combine the like terms:

\[ (35 + 22)x = 456 \]

This simplifies to:

\[ 57x = 456 \]

Next, to solve for \( x \), divide both sides by 57:

\[ x = \frac{456}{57} \]

Calculating the right side gives:

\[ x = 8 \]

So, the solution to the equation is:

\[ x = 8 \]