Question

Solve for x
4x - 7 - (x+4) = 3x + 4 - (2x - 1)
17 ( 2 - x) - 5 ( x + 12 ) = 8
- 7x

Answer 1

✔️ Verified Solution...!!

Question -

4x - 7 - (x+4) = 3x + 4 - (2x - 1)

Solution -

4x - 7 - (x+4) = 3x + 4 - (2x - 1)

➠4x - 7 - x - 4 = 3x + 4 - 2x + 1

➠3x - 11 = x + 5

➠3x - x = 5 + 11

➠2x = 16

$➠x = \cancel{ \frac{16}{2}}$

$➠ \boxed{x = 8}$

Question -

$\frac{17 ( 2 - x) - 5 ( x + 12 ) }{ - 7x} = 8$

➠17 ( 2 - x ) - 5 ( x + 12) = -56x

➠34 - 17x - 5x - 60 = -56x

➠(-22x) - 26 = -56x

➠(-22x) + 56x = 26

➠34x = 26

$➠ x \: = \frac{ \cancel{26}}{ \cancel{34}}$

$➠ \boxed{x = \frac{13}{17} }$

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Answer 2

$\sf \: 4x - 7 - (x + 4) = 3x + 4 - (2x - 1)$

$\sf \: ➝ \: 4x - 7 - x - 4 = 3x + 4 - 2x + 1$

$\sf \: ➝ \: 4x - 3x + 2x - x = 4 + 1 + 7 + 4$

$\sf \: ➝ \: x + x = 16$

$\sf \: ➝ \: 2x = 16$

$\sf \: ➝ \: x = \frac{16}{2}$

$\sf \boxed{ \: ➝ \: x = 8}$

$\sf \: \frac{17(2 - x) - 5(x + 12)}{1 - 7x = 8}$

$\sf \:Taking \: (1 - 7x) \: to \: the \: right \: hand \: side.$

$\sf \: ➝34 - 17x - 5x - 60 = 8( 1 - 7x)$

$\sf \: ➝- 26 - 22x = 8 - 56x$

$\sf \: ➝ 56x - 22x = 8 + 26$

$\sf \:➝ 34x = 34$

$\sf {➝x = \frac{34}{34}}$

$\sf \boxed{ \:➝x = 1}$