Question

2(1-5x)-3 (7x+1)=2(5+2x)-9 and checked

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Answer 1

Step-by-step explanation:

$(2 - 10x) - (21x + 3) = (10 + 4x) - 9$

$2 - 10x - 21x - 3 = 10 + 4x - 9$

$- 31x - 1 = 4x + 1$

$- 1 - 1 = 4x + 31x$

$2(1 - 5 \times \frac{ -2 }{35} ) - 3(7 \times \frac{ - 2}{35} ) = 2(5 \times \frac{ - 2}{35} + 4 \times \frac{ - 2}{35} ) - 9$

$- 2 = 35x$

$x = \frac{ -2 }{35}$

To check

$2(1 - 5 \times \frac{ -2 }{35} ) - 3(7 \times \frac{ - 2}{35} + 1 ) = 2(5 + 2 \times \frac{ - 2}{35} ) - 9$

$2(1 + \frac{2}{7} ) - 3( - \frac{2}{5} + 1) = 2(5 + \frac{ - 4}{35} ) - 9$

$\frac{18}{7} - \frac{9}{5} = \frac{342}{35} - 9$

$\frac{27}{35} = \frac{27}{35}$