Question

7x-1/4-1/3(2x-1-x/2)=10/3

Answer 1

i hope you understand.......

Answer 2

The value of x is 1/2.

Step-by-step explanation:

Consider the given equation is

$7x-\dfrac{1}{4}-\dfrac{1}{3}(2x-1-\dfrac{x}{2})=\dfrac{10}{3}$

We need to find the value of x.

Using distributive property, we get

$7x-\dfrac{1}{4}-\dfrac{2x}{3}+\dfrac{1}{3}+\dfrac{x}{6}=\dfrac{10}{3}$

Combine like terms.

$(7x-\dfrac{2x}{3}+\dfrac{x}{6})+(-\dfrac{1}{4}+\dfrac{1}{3})=\dfrac{10}{3}$

$\dfrac{42x-4x+x}{6}+\dfrac{4-3}{12}=\dfrac{10}{3}$

$\dfrac{39x}{6}+\dfrac{1}{12}=\dfrac{10}{3}$

Isolate variable terms on left side.

$\dfrac{13x}{2}=\dfrac{10}{3}-\dfrac{1}{12}$

$\dfrac{13x}{2}=\dfrac{40-1}{12}$

$\dfrac{13x}{2}\times \dfrac{2}{13}=\dfrac{39}{12}\times \dfrac{2}{13}$

$x=\dfrac{1}{2}$

Therefore, the value of x is 1/2.

#Learn more

3/4(7x-1)-(2x-1-x/2)=x+3/2 is -----------

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