Question

¾ (7x -1) - (2x-½-x) =X+3/2​

Answer 1

Answer:

x=7/13

Step-by-step explanation:

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

(21/4)x-(3/4)-(2x-1/2-x)=x+3/2

(21/4)x-(3/4)-(x-1/2)=x+3/2

(21/4)x-3/4-x+1/2=x+3/2

(21/4)x-1/4-x=x+3/2

multiple with 4 both side

21x-1-4x=4x+6

17x-1=4x+6

17x-4x=6+1

13x=7

x=7/13

Answer 2

$\huge\underline{\mathfrak{\red{Question}}}$

$\frac{3}{4} (7x - 1) - [2x - \frac{1 - x}{2}] = x + \frac{3}{2}$

$\huge\underline{\mathfrak{\red{Answer}}}$

1

$\huge\underline{\mathfrak{\red{Explanation}}}$

$⟹ \frac{3}{4} (7x - 1) - [2x - \frac{1 - x}{2}] = x + \frac{3}{2}$

$⟹\frac{21x - 3}{4} - [ \frac{4x - 1 + x}{2} ] = \frac{2x + 3}{2}$

$⟹ \frac{21x - 3}{4} - \frac{5x - 1}{2} = \frac{2x + 3}{2}$

$⟹ \frac{21x - 3 - 2(5x - 1)}{4} = \frac{2x + 3}{2}$

$⟹ \frac{21 - 3 - 10x + 2}{4} = \frac{2x + 3}{2}$

$⟹ \frac{11x - 1}{4} = \frac{2x + 3}{2}$

By cross multiplying the above term we get,

$⟹ 22x - 2 = 8x + 12$

$⟹ 22x - 8x = 12+2$

$⟹ 14x = 14$

$⟹x = \frac{14}{14}$

$\sf \color{red}⟹x = 1$

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