Question

equation 2/3x=3/8x+7/2​

Answer 1

Answer:

-0.5174=x

Step-by-step explanation:

2/3x=3/8x+7/2  is given

so take the reciprocal of this whole equation. ( in case if someone doesnt remember what reciprocal means, just make this whole equation upside down.)

then you'll get      3x/2=8x/3+2/7

Next take a common denominator for the right side

    3x/2=(56x+14)/21

Next cross multiply 3x*21=(56x+14)2

                                63x=112x+28

Now solve this equation -28=112x-63x

                                         -28=49x

                                          -28/49=x

                                          -0.5714=x

Answer 2

Step-by-step explanation:

$= \frac{2x}{3} \: = \: \frac{3x}{8} \: + \: \frac{7}{2} \\ = \frac{2x}{3} \: - \: \frac{3x}{8} \: = \: \frac{7}{2} \\ = Now, find \: out \: the \: LCM \: of \: the \: denominators \:of \: right \: hand \: side \: (3 \: and \: 8), \: i.e \: 24. \\ = \frac{2x \times 8}{3 \times 8} \: - \: \frac{3x \times 3}{8 \times 3} \: = \frac{7}{2} \\ = \frac{16x}{24} \: - \: \frac{9x}{24} \: = \: \frac{7}{2} \\ = \frac{16x - 9x}{24} \: = \: \frac{7}{2} \\ = \frac{7x}{24} \: = \: \frac{7}{2} \\ = x \: = \: \frac{7 \times 24}{2 \times 7} \\ = x \: = \: \frac{24}{2} \: = \: 12 \\ \\ Therefore, \: the \: value \: of \: x \: in \: the \: given \: equation \: is \: 12. \\ \\ Please \:Mark \:As \:“Brainliest \:Answer”....$