1.

5(1-x)+3(1+x)/1-2x=8​

Answer»

ANSWER:

x = \frac{3}{7}

Step-by-step EXPLANATION:

5(1 - x) + \frac{3(1 + x)}{1 - 2x} = 8 \\ \frac{5(1 - x)(1 - 2x) + 3(1 + x)}{1 - 2x} = 8 \\ (5 - 5x)(1 - 2x) + 3 + 3x = 8(1 - 2x) \\ 5 - 10x - 5x + 10x + 3 + 3x = 8 - 16x \\ - 2x + 2 = 8 - 16x \\ 2(1 - x) = 2(4 - 8x) \\ 1 - x = 4 - 8x \\ 7x = 3 \\ x = \frac{3}{7}


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