Question

Solve:
$x - (2x - \frac{3x - 4}{7}) = \frac{4x - 27}{3} - 3$

Answer 1

$x - (2x - \frac{3x - 4}{7}) = \frac{4x - 27}{3} - 3 \\ x - 2x + \frac{3x - 4}{7} = \frac{4x - 27}{3} - 3 \\ > > \small{\frac{7x - 14x + 3x - 4}{7} = \frac{4x - 27 - 9}{3}} \\ > > \frac{10x - 14x - 4}{7} = \frac{4x - 36}{3} \\ > > \frac{ - 4x - 4}{7} = \frac{4x - 36}{3} \\ > > 3( - 4x - 4) = 7(4x - 36) \\ > > - 12x - 12 = 28x - 252 \: \\ > > \: - 12 + 252 = 28x + 12x \\ > > 240 = 40x \\ > > x = \frac{\cancel{240}}{\cancel{40}} = 6 \: \color{blue}\underline{\underline{ \bf{answer}}}$

Answer 2

Hey Here is your answer

$x - (2x - \frac{3x - 4}{7}) = \frac{4x - 27}{3} - 3 \\ \\ x - 2x + \frac{3x - 4}{7} = \frac{4x - 27}{3} - 3 \\ \\ x - 2x + \frac{3x - 4}{7} - \frac{4x - 27}{3} = - 3 \\ \\ \frac{(21 \times x) - (21 \times 2x) + 3(3x - 4) - 7(4x - 27)}{21} = - 3 \\ \\ \frac{21x - 42x + 9x - 12 - 28x + 189}{21} = - 3 \\ \\ \frac{ - 40x + 177}{21} = - 3 \\ \\- 40x + 177 = - 3 \times 21 \\ \\ - 40x = - 63 - 177 \\ \\ - 40x = - 240 \\ \\ 40x = 240 \\ \\ x = \frac{240}{40} \\ \\ \bf \: x = 6 \: \: \: answer$

hope this helps you

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