Question

17(2-x)-5(x+12)/1-7x=8

Answer 1

Answer:

Step-by-step explanation:

Hi friends

17(2-x)-5(x+12)/1-7x=8

Taking(1-7x)to the right hand side

34-17x-5x-60=8(1-7x)

-26-22x=8-56x,

56x-22x=8+26

By following the grouping method of like terms

34x=34

X=34/34=1

Hope it helped you

Answer 2

Answer:

The solution of the given equation is x = 1.

Step-by-step explanation:

Given the algebraic equation,

$\dfrac{17(2-x)-5(x+12)}{1-7x} =8$

Multiplying both sides of the equation by $1-7x$

$\dfrac{\big [17(2-x)-5(x+12)\big ](1-7x)}{1-7x} =8(1-7x)$

Cancelling $1-7x$ on left hand side,

$17(2-x)-5(x+12)\big =8(1-7x)$

Following the BODMAS rule, open the brackets by multiplying each term inside the bracket with the outside number,

$34-17x-5x-60=8-56x$

Doing additions and subtraction of like terms

$-26-22x=8-56x$

Bring the like terms on side,

$56x-22x=8+26$

$34x=34$

$\implies x=\dfrac{34}{34} =1$

Therefore, the solution of the equation is x = 1.