Question

if 2/3(4x-1)-[4x-1-3x/2]=x-7/2 then x___​

Answer 1

Answer:

Step-by-step explanation:2/3(4x-1)-[4x-{(1-3x)/2}]=(x-7)/2

8x/3-2/3-[(8x-1+3x)/2]=(x-7)/2

8x/3-2/3-[(11x-1)/2]=(x-7)/2

8x/3-2/3-[11x/2-1/2]=(x-7)/2

8x/3-2/3-11x/2+1/2=(x-7)/2

Now LCM of 2 and 3 is 6 so,

(16x-4-33x+3)/6=(x-7)/2

(-17x-1)/6=(x-8)/2

By cross multiplying

2(-17x-1)=6(x-7)

-34x-2=6x-42

-34x-6x=-42+2

-40x=-40

Minus and minus on both the side will cut so,

40x=40

taking 40 from LHS to RHS

x=40/40

x=1 is the answer