Question

Solve : x-(2x - 3x-4/7) = 4x-27/3 -3
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Answer 1

Answer:

44/7

Step-by-step explanation:

answer in above picture

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Answer 2

Step-by-step explanation:

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

$\longrightarrow \: x - 2 + \frac{3x - 4}{7} - \frac{4x - 27}{3} = - 3$

$\longrightarrow - x + \frac{3x - 4}{7} - \frac{4x - 27}{3} = - 3$

The L.C.M of 3,7 is 21.

$\longrightarrow \frac{ - 21x + 3(3x - 4) - 7(4x - 27)}{21} = \frac{ - 3}{1}$

$\longrightarrow \frac{21x + 9x - 12 - 28 + 189}{21} = \frac{ - 3}{1}$

$\longrightarrow - 21 + 9x - 28x + 189 - 12 = - 3 \times 21$

$\longrightarrow - 49x + 9x + 177 = - 63$

$\longrightarrow - 40x = - 63 - 177$

$\longrightarrow \cancel- 40x = \cancel- 240$

$\longrightarrow40x = 240$

$\longrightarrow \: x = \cancel \frac{240}{40}$

$\longrightarrow \: x = 6$

Check:

$LHS = x - (2x - \frac{3x - 4}{7} )$

$= 6 - (2 \times 6 - \frac{3 \times 6 - 4}{7} )$

$= 6 - (12 - \frac{18 - 4}{7} )$

$= 6 - (12 - \frac{14}{7} )$

$= 6 - (12 - 2)$

$= 6 - 10 \\ = - 4$

$RHS = \frac{4x - 27}{3} - 3$

$= \frac{4 \times 6 - 27}{3} - 3$

$= \frac{24 - 27}{3} - 3$

$= \frac{ - 3}{3} - 3$

$= - 1 - 3$

$= - 4$

.°. LHS = RHS

Hence Verified: