Question

$\frac{x + 1}{4} + \frac{x + 2}{2} = \frac{x - 3}{2} - \frac{x - 1}{3}$
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Answer 1

Answer: x = -29/7

Step-by-step explanation:

$(x+1+2x+4)/2 = (3x-9-2x+2)/3$

$(3x+5)/2 = (x-7)/3$

(3x+5)(3) = (x-7)(2)

x = -29/7

Answer 2

Question

$\large\frac{x + 1}{4} + \frac{x + 2}{2} = \frac{x - 3}{2} - \frac{x - 1}{3}$

Answer

$\large \bf\frac{x + 1}{4} + \frac{x + 2}{2} = \frac{x - 3}{2} - \frac{x - 1}{3}$

By cross Multiplication,

$\mathtt{ \color{darkgreen}{ \implies(2x + 2) + (4x + 8) = (3x - 9) - (2x - 2)}}$

$\mathtt{ \color{darkgreen}{ \implies2x + 2 + 4x + 8= 3x - 9 - 2x - 2}}$

$\mathtt{ \color{darkgreen}{ \implies2x + 4x+ 2 + 8= 3x - 2x- 9 - 2}}$

$\mathtt{ \color{darkgreen}{ \implies6x + 10= x - 11}}$

$\mathtt{ \color{darkgreen}{ \implies6x - x= - 11 - 10}}$

$\mathtt{ \color{darkgreen}{ \implies5x= -21}}$

$\mathtt{ \color{darkgreen}{ \implies \: x= \frac{ - 21}{ \: \: 5}}}$

$\mathtt{ \color{darkgreen}{ \implies \: x = 4.2 _{ans} }}$

Hence, the answer is 4.2 .