Question

3x+8=5x+2

Solve the given equation.​

Answer 1

3x+8=5x+2

→ 3x + 5x = 8+2

→ 15x = 10

→ x= 10/15

→ x= 0.6

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Answer 2

Solve the given equation :-

$\sf Q) \: 3x + 8 = 5x + 2$

Putting the constants and the variables on different sides by transposing,

$\sf\Rightarrow3x - 5x = 2 - 8$

On simplifying,

$\sf \Rightarrow- 2x = - 6$

Transposing -2 from LHS to RHS, changing it's sign,

$\sf \Rightarrow x = \dfrac{ - 6}{ - 2}$

Dividing -6 by -2,

$\sf \Rightarrow x = 3.$

Therefore, the value of x = 3.

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Verification :-

To check our answer, let's put 3 (The value of x) in the place of x and see whether LHS = RHS.

Let's proceed!

LHS

$\sf\Rightarrow3 \times 3 + 8$

Applying the BODMAS rule and multiplying 3 by 3 first,

$\sf\Rightarrow9 + 8$

On adding the numbers,

$\sf\Rightarrow17.$

RHS

$\sf\Rightarrow5 \times 3 + 2$

Applying the BODMAS rule and multiplying 5 by 3 first,

$\sf\Rightarrow15 + 2$

On adding the numbers,

$\sf\Rightarrow17.$

Since LHS = RHS,

Hence verified!