Math, asked by Chinnideekshitha, 4 days ago

solve:4(x+2)-3(2-x)=3(x+4)-2(4-x).

Answers

Answered by BlushyBaby
22

\huge\bold\red{Answer}

4(x + 2) - 3(2 - x) = 3(x + 4) - 2(4 - x) \\  \\ 4x + 8 - 6 + 3x = 3x + 12 - 8 + 2x \\  \\ 7x + 2 = 5x + 4 \\  \\ 7x - 5x = 4 - 2 \\  \\ 2x = 2 \\  \\ x =  \frac{2}{2}  \\  \\ x = 1

Answered by AestheticDude
38

Answer :-

  • Value of x is 1 .

Step-by-step-Explaination :-

 \rm \: 4(x + 2) - 3(2 - x) = 3(x + 4) - 2(4 - x)

Here , outside brackets numbers are there which we have to multiply it and opening brackets :

 \rm \: \implies 4x + 8 - 6  -  x= 3x + 12 - 8  + 2x

Now bringing X one side and Constant one side :

 \rm \: \implies 4x   -  x - 3x - 2x=  + 12 - 8  - 8 + 6

Just finding out ,

 \rm \: \implies  - 2x=  18 - 1 6

So , it becomes :

 \rm \: \implies  - 2x=   - 2

Taking -2 to R.H.S to divide it with -2

 \rm \: \implies  -   x=    \dfrac{- 2}{2}

Getting value of x .

 \rm \: \implies  -   x=     - 1

Now , see x is also negative and 1 is also negative . So,

Let's make it positive .

 \rm \: \implies  \bf   x=     1

 \therefore \sf \: Value \: of \: x \: is \: 1

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