Question

7. Solve for x:
17(2-x)-5(x+12)/1-7x= 8​

Answer 1

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

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

-26-22x=8-56

-22x=-22

x=1

Answer 2

Answer:

• Value of x in this equation is 1.

Step-by-step explanation:

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

To Find:

• Value of x.

Solution:

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

Opening the brackets,

$\sf{\implies\dfrac{34-17x-5x-60}{1-7x}=8}$

Transposing 1 - 7x from LHS to RHS and changing its sign,

$\sf{\implies34-17x-5x-60=8\times(1-7x)}$

Solving further,

$\sf{\implies-26-22x=8-56x}$

Transposing variables to LHS, constants to RHS and changing their sign,

$\sf{\implies-22x+56x=8+26}$

Adding,

$\sf{\implies34x=34}$

Transposing 34 from LHS to RHS and changing its sign,

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

Dividing,

$\bf{\implies x=1}$

Hence,

• x = 1