Question

solve the below equation -


2(x+3)= 4(x-5)​

Answer 1

Given:

• equation : 2(x+3) = 4(x -5)

To Find:

• The value of x

Solution:

◐ Now to find the value of x in the equation we use transposition method which means shifting the numbers from left hand side to right hand side

${ : \implies} \sf 2(x + 3) = 4(x - 5) \\ \\ \\ \\ { : \implies} \sf 2x + 6 = 4x - 20 \: \: \: \\ \\ \\ \\ { : \implies} \sf 2x - 4x = - 20 - 6 \\ \\ \\ \\ { : \implies} \sf - 2x = - 26 \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \\ { : \implies} \sf x = \cancel \frac{ - 26}{ - 2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \\ { : \implies} \sf { \pink{\underline{ \boxed{13 \bigstar}}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

★Now , the value of x is 13★

Verification:

• let's substitute 13 in the place of x and check weather it satisfies the equation:

${ : \implies} \sf \: 2(x + 3) = 4(x - 5) \: \: \: \: \\ \\ \\ \\ { : \implies} \sf 2(13 + 3) = 4(13 - 5) \\ \\ \\ \\ { : \implies} \sf 2(16) = 4(8) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \\ { : \implies} \sf 32 = 32 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

➜ LHS equals RHS

$\sf {\huge{ \pink{ \underline{ \: hence \: proved \dag}}}}$

Answer 2

Answer:

$2(x + 3) = 4(x - 5)$

Here, we shall use BODMAS

B→ Bracket

O→ Of

D→ Division

M→ Multiplication

A→ Addition

S→ Subtraction

$2x + 6 = 4x - 20 \\ \\ \\ subtracting \: \: 6 \: from \: both \: sides \\ \\ \\ 2x + 6 - 6 = 4x - 20 - 6 \\ \\ \\ 2x = 4x - 26 \\ \\ \\ adding \: \: 26 \: \: both \: sides \\ \\ \\ 2x + 26 = 4x - 26 + 26 \\ \\ \\ 2x + 26 = 4x \\ \\ \\ subtracting \: 2x \: from \: both \: sides \\ \\ \\ 2x + 26 - 2x = 4x - 2x \\ \\ \\ 26 = 2x \\ \\ \\ 2x = 26 \\ \\ \\ dividing \: both \: sides \: by \: 2 \\ \\ \\ \frac{2x}{2} = \frac{26}{2} \\ \\ \\ { \boxed{ \huge{ \pink{x = 13}}}}$