3 6/11x+1 4/33x=12.6

3⁶/₁₁x + 1⁴/₃₃x = 12,6;

х * (3⁶/₁₁ + 1⁴/₃₃) = 12,6;

3⁶/₁₁ + 1⁴/₃₃ = (3 + 1) + (⁶/₁₁ + ⁴/₃₃) = 4 + (¹⁸/₃₃ + ⁴/₃₃) = 4 + ²²/₃₃ = 4 + ²/₃ = 4 ²/₃;

4²/₃х = 12,6;

х = 12,6 : 4²/₃;

12,6 : 4²/₃ = 12⁶/₁₀ : ¹⁴/₃ = 12³/₅ : ¹⁴/₃ = ⁶³/₅ * ³/₁₄ = ^{63 * 3}/_{5 * 14} = ^{9 * 3}/_{5 * 2} = ²⁷/₁₀ = 2,7;

х = 2,7.

Ответ: х = 2,7.