Question

1/2 (x−8)+1=2( 1 8 x−1)

Answer 1

Answer:

The solution for the given algebraic equation is $\frac{ - 2}{71}$

Step-by-step explanation:

Given algebraic equation as :

$\frac{1}{2}$ ( x - 8 ) + 1 = 2 ( 18 x - 1 )

Now solving the equation while opening the brackets

So, $\frac{1}{2}$ × x - $\frac{1}{2}$ × 8  + 1 = 2 × 18 x - 2

Or, $\frac{x}{2}$  - $\frac{8}{2}$  + 1  = 36 x - 2

or,  $\frac{x}{2}$  - 4 + 1 = 36 x - 2

or,  $\frac{x}{2}$  - 3 = 36 x - 2

or,  $\frac{x}{2}$ - 36 x = - 2 + 3

Or,  $\frac{x}{2}$ - 36 x = 1

or, $\frac{x - 72 x}{2}$ = 1

or, $\frac{- 71 x}{2}$ = 1

∴ 71 x = - 2

I.e x = $\frac{ - 2}{71}$

Hence The solution for the given algebraic equation is $\frac{ - 2}{71}$    Answer