Question

1/2 (x+1) + 1/3 (x-1) = 5/12 (x-2) ​

Answer 1

Answer:

15/24

Step-by-step explanation:

= 1/2(x+1)+1/3(x-1) = 5/12(x-2)

= 1/2x+1/2+1/3x-1/3 = 5/12x-5/6

= 1/2x+1/3x-5/12x = -5/6-1/2+1/3

= 18x+12x-15x/36 = 5-3+2/6

= 30x-15x/36 = 7-3/6

= 15x/36 = 4/6

= 15x/36 = 2/3

= 15x × 3 = 2×36

= 15x = 24

= x = 15/24

Answer 2

$\sf \large\leadsto {{\frac{1}{2} (x + 1) \: + \: \frac{1}{3} (x - 1) \: = \: \frac{5}{12}(x - 2)}}$

$\large\sf \leadsto\frac{12}{2} (x + 1) \: + \frac{12}{3} (x - 1) = \: \frac{5 \times 12}{12} (x - 2)$

$\large\sf \leadsto6(x - 1) + 4(x - 1) = \: 5(x - 2)$

$\large\sf \leadsto6x + 6 - 4x - 4 - 5x - 10$

$\large\sf \leadsto 6x + 4x - 5x = - 10 - 6 + 4$

$\large \sf \leadsto 5x = - 12$

$\huge \leadsto\sf \pmb{ x = \frac{ - 12}{5}}$