Question

Solve and verify the solution
2( x+3)+3(x+1)=4(2x-3)+3

Answer 1

➢Answer :

• Value of X is 6 .

★ Solve and Verify the Equation :-

$\rm \: 2(x + 3) + 3(x + 1) = 4(2x - 3) + 3$

★ Solution & Verifying :-

$\rm \: 2(x + 3) + 3(x + 1) = 4(2x - 3) + 3$

Here , we have to open the brackets and find out the products .

$\rm \: \implies2x + 6 + 3x + 3 = 8x - 12 + 3$

Now , we will have to bring all x one side of equals to and Variables in another side of equals to .

$\rm \: \implies2x + 3x - 8x= - 6 - 3 - 12 + 3$

Now , x and Variable should be reduced to a value .

$\rm \: \implies - 3x = - 6 - 12$

Reducing the value more .

$\rm \: \implies - 3x = -18$

See , both of them having negative sign so , it's will be denoted and will become positive .

$\rm \: \implies 3x = 18$

Now , dividing 18 with 3 .

$\rm \: \implies x = \dfrac{18}{3}$

Now , value of x is :

$\rm \: \implies \underline{ \boxed{ \bf x = 6}} \: \bigstar$

★ Hence , Value of X becomes 6 .

★ Verifying :-

See , we know value of x so , putting their values in equation :

$\rm \: 2(x + 3) + 3(x + 1) = 4(2x - 3) + 3$

$\rm \: \implies2\times 6+ 6 + 3\times 6 + 3 = 8\times 6 - 12 + 3$

Doing multiply first ,

$\rm \: \implies 12+ 6 + 18 + 3 = 48 - 12 + 3$

$\rm \longrightarrow\underline {\:\bf 39 = 39} \:\bigstar$

Hence Verified !!

★Why we did multiply first and not addition ??

• A term known as " BODMAS " is used here .
• BODMAS ➨Brackets of Division , Multiplication , Addition , Substraction.

According to this , we will have to first solve for Brackets then Division then Multiplication then Addition then Substraction .

Hence , that's why we multiplied first.

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