770:(4х+18х)-12=23

Let's solve the equation step by step:

Given the equation:

\[ 770:(4x + 18x) - 12 = 23 \]

First, simplify the expression inside the parentheses:

\[ 4x + 18x = 22x \]

So now the equation becomes:

\[ 770:(22x) - 12 = 23 \]

Next, we can rewrite the division:

\[ \frac{770}{22x} - 12 = 23 \]

Now, let's isolate the term with \(x\):

1. Add 12 to both sides:

\[ \frac{770}{22x} = 23 + 12 \]

\[ \frac{770}{22x} = 35 \]

2. Cross-multiply to solve for \(x\):

\[ 770 = 35 \cdot 22x \]

3. Calculate \(35 \cdot 22\):

\[ 35 \cdot 22 = 770 \]

Thus, we have:

\[ 770 = 770x \]

4. Now, divide both sides by 770:

\[ 1 = x \]

So, the solution is:

\[ \boxed{1} \]