(12•x-35):11:5=42:6

To solve the equation \((12x - 35):11:5 = 42:6\), we can start by simplifying the right-hand side, which is a ratio.

1. Simplify the right-hand side: \[ 42:6 = \frac{42}{6} = 7 \] So we can write: \[ (12x - 35):11:5 = 7 \] This can be interpreted as \( \frac{12x - 35}{11} = 7 \cdot 5 \).

2. Calculate \(7 \cdot 5\): \[ 7 \cdot 5 = 35 \]

3. Set up the equation: Now we can set up the equation: \[ \frac{12x - 35}{11} = 35 \]

4. Multiply both sides by 11 to eliminate the fraction: \[ 12x - 35 = 35 \cdot 11 \] Calculate \(35 \cdot 11\): \[ 35 \cdot 11 = 385 \] Now we have: \[ 12x - 35 = 385 \]

5. Add 35 to both sides: \[ 12x = 385 + 35 \] Calculate \(385 + 35\): \[ 385 + 35 = 420 \] So: \[ 12x = 420 \]

6. Divide both sides by 12: \[ x = \frac{420}{12} \] Calculate \( \frac{420}{12} \): \[ x = 35 \]

So, the solution is: \[ \boxed{35} \]