Question

find the value of x in 2x+3=2(2x+8)
please answer fastly its important ​

Answer 1

Answer :-

• The value of x is -13/2.

To find :-

• The value of x.

Step-by-step explanation :-

$\dashrightarrow\sf2x + 3 = 2 \: (2x + 8)$

$\dashrightarrow\sf2x + 3 = 4x + 16$

$\dashrightarrow\sf2x - 4x = 16 - 3$

$\dashrightarrow \sf - 2x = 13$

$\dashrightarrow\sf x = \dfrac{ - 13}{ \: \: \: \: 2}$

-----------------------------------------------------------

V E R I F I C A T I O N

• To check our answer, let's put -13/2 in the place of x and see whether LHS = RHS.

LHS

$\dashrightarrow\rm2x + 3 = 2 \: (2x + 8)$

$\dashrightarrow\rm \not2 \times \dfrac{ - 13}{ \: \: \not2} + 3$

$\dashrightarrow\rm \dfrac{ - 13}{ \: \: \: \: \: 1} + 3$

$\dashrightarrow - 13 + 3$

$\dashrightarrow\rm - 10$

RHS

$\dashrightarrow\rm2 \: (2x + 8)$

$\dashrightarrow \not2 \: \left(2 \times \dfrac{ - 13}{ \: \: \not2} + 8 \right)$

$\dashrightarrow \rm2 \: \left( \dfrac{ - 13}{ \: \: \: \: \: 1} + 8 \right)$

$\dashrightarrow\rm2 \: ( - 13 + 8)$

$\dashrightarrow\rm2 \: ( - 5)$

$\dashrightarrow2 \times - 5$

$\dashrightarrow - 10$

LHS = RHS.

Hence verified!!

________________________________