Dear student, 10-5(1+x)3+3x+15=010-5-5x3+3x+15=0The L C M of 3 and 5 is 15, thus the denominator becomes 15 5×10-5-5x5×3+3×3x+13×5=050-25-25x15+9x+315=050-25-25x+9x+315=028-14x15=028-14x=15×028-14x=028=14xx=2814=2x=2 Regards

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Dear student,

\frac{10 - 5 (1 + x)}{3} + \frac{3 x + 1}{5} = 0 \frac{10 - 5 - 5 x}{3} + \frac{3 x + 1}{5} = 0 T h e L . C . M . o f 3 a n d 5 i s 15, t h u s t h e d e n o m i n a t o r b e c o m e s 15 . \frac{5 \times (10 - 5 - 5 x)}{5 \times 3} + \frac{3 \times (3 x + 1)}{3 \times 5} = 0 \frac{50 - 25 - 25 x}{15} + \frac{9 x + 3}{15} = 0 \frac{50 - 25 - 25 x + 9 x + 3}{15} = 0 \frac{28 - 14 x}{15} = 0 28 - 14 x = 15 \times 0 28 - 14 x = 0 28 = 14 x x = \frac{28}{14} = 2 x = 2

Regards

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