Let's solve the equation step by step:
\[ (х + 104) \cdot 2 = 3x - 70 \]
First, distribute the 2 on the left side:
\[ 2x + 208 = 3x - 70 \]
Next, isolate the variable \(x\). Start by getting all terms containing \(x\) on one side and constant terms on the other side. Subtract \(2x\) from both sides:
\[ 208 = 3x - 2x - 70 \]
This simplifies to:
\[ 208 = x - 70 \]
Next, add 70 to both sides to isolate \(x\):
\[ 208 + 70 = x \]
\[ x = 278 \]
So, the solution is:
\[ \boxed{278} \]