Question

6 upon 2 x minus bracket 3 - 4 x bracket close is equal to 2 upon 3 ​

Answer 1

GIVEN :

The equation is $\frac{6}{2}x-(3-4x)=\frac{2}{3}$ ​

TO FIND :

The value of x in the given equation.

SOLUTION :

Given equation is $\frac{6}{2}x-(3-4x)=\frac{2}{3}$ ​

Now solving the given equation to find the value of x :

$\frac{6}{2}x-(3-4x)=\frac{2}{3}$ ​

$3x-(3-4x)=\frac{2}{3}$ ​

By using the Distributive property:

a(x+y)=ax+ay

$3x-(3)-(-4x)=\frac{2}{3}$ ​

$3x-3+4x=\frac{2}{3}$ ​

$7x-3-\frac{2}{3}=0$ ( by adding the like terms )

$\frac{3(7x-3)-2}{3}=0$

By using the Distributive property:

a(x+y)=ax+ay

$\frac{3(7x)+3(-3)-2}{3}=0$

$21x-9-2=0$

$21x-11=0$

$21x=11$

∴ $x=\frac{11}{21}$

∴ The value of x is $\frac{11}{21}$