To solve the equation \( 102:(56 - x) = 3 \), we can rewrite it in a more manageable form:
Rewrite the equation in fraction form: \[ \frac{102}{56 - x} = 3 \]
Cross-multiply to eliminate the fraction: \[ 102 = 3(56 - x) \]
Distribute the 3 on the right side: \[ 102 = 168 - 3x \]
Rearrange the equation to isolate the term with \( x \): \[ 3x = 168 - 102 \] \[ 3x = 66 \]
Divide both sides by 3 to solve for \( x \): \[ x = \frac{66}{3} = 22 \]
So, the solution is \( x = 22 \).