Question

1/2(4-+6x)=1/3x+2/3(x+9)

Answer 1

Answer:

The value of x for the expression is 2

Step-by-step explanation:

Given algebraic expression as :

$\frac{1}{2}$(4 + 6 x ) = $\frac{1}{3}$ x + $\frac{2}{3}$ ( x + 9 )

Now, solving the given expression

Or, $\frac{1}{2}$ × 4 + $\frac{1}{2}$ × 6 x = $\frac{1}{3}$ x + $\frac{2}{3}$ x + $\frac{2}{3}$ × 9

Or,  $\frac{4}{2}$  + $\frac{6}{2}$ × x = $\frac{1}{3}$ x + $\frac{2}{3}$ x + $\frac{18}{3}$

or, 2 + 3 × x = $\frac{x}{3}$ + $\frac{2 x}{3}$  + 6

or, 2 + 3 × x =  $\frac{2 x + x}{3}$  + 6

or, 2 + 3 × x = $\frac{3 x}{3}$  + 6

Or, 2 + 3 × x = x + 6

or, 3 x - x =  6 - 2

Or, 2 x = 4

∴  x = $\frac{4}{2}$

I.e x = 2

Hence The value of x for the expression is 2 Answer