Question

solve the following equation and check your result

equations having the variable on both side

3{x-2}+5/2=5x-3/4​

Answer 1

Answer:

x=-11/8

Step-by-step explanation:

3(x-2)+5/2=5x-3/4

(3x-6)+5/2=5x-3/4

(6x-12+5)/2=20x-3/4

in dinaminator 2 and 4 cancels

and (6x-12+5)= (20x-3)/2

and cross multiple the 2

2(6x-12+5)=20x-3

12x-24+10=20x-3

20x-12x=-24+10+3

8x= -24+13

8x= -11

x=-11/8

Answer 2

$\huge \mathbb\fcolorbox{black}{lavenderblush}{Answer♡}$

Required Answer —

Step-by-step explanation:

$3(x - 2) + \frac{5}{2} = 5 x - \frac{3}{4} \\ \frac{2 \times 3(x - 2) + 5}{2} = \frac{4 \times 5x - 3}{4} \\ \frac{2 \times 3x - 6 + 5}{2} = \frac{20x - 3}{4} \\ \frac{6x - 1}{2} = \frac{20x - 3}{4} \\ 4(6x - 1) = 2(20x - 3) \\ 24x - 4 = 40x - 6 \\ 6 - 4 = 40x - 24x \\ 2 = 16x \\ x = \frac{2}{16} \\ x = \frac{1}{8}$

Therefore your answer is

$\small \colorbox{black}{x=1/8}$

Answered by $\small\colorbox{pink}{@Moncheri06}$