find x if 5x - 15=3x + 6
Answers
Answer:
5x=15
x=15/5
x=3
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Solution:-
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⇢ Here we are given an equation that is 5x - 15 = 3x + 6. Now, the question has asked us to solve the equation and find the value of x after that we have to verify the answer also. So, for solving the equation follow the method given below.
ANSWER:-
⟹ Value of x is 10.5.
GIVEN:-
➮ Equation = 5x - 15 = 3x + 6
TO FIND:-
⇒ Value of x = ?
HOW TO DO:-
⇨ Take constant terms to R.H.S.
⇨ Separate the constant terms from the variable.
⇨ Take the separated term to R.H.S.
⇨ Solve further.
SOLVING STEP BY STEP:-
⇾ 5x - 15 = 3x + 6
⇾ Transposing -15 to R.H.S (Sign will change):- 6 + 15
⇾ Transposing 3x to R.H.S (Sign will change):- 5x - 3x
So,
⇾ 5x - 3x = 6 + 15
⇾ Adding the terms:- 6 + 15 = 21
⇾ Subtracting the terms = 5x - 3x = 2x
So,
⇾ 2x = 21
⇾ Transposing 2 to R.H.S:- 21 / 2
So,
⇾ x = 21 / 2
⇾ Dividing the terms:- 21 / 2 = 10.5
So,
⇾ x = 10.5
⇾ Final answer:- 10.5
So,
⇾ x = 10.5
Thus, we got the answer. Value of x is 10.5.
VERIFICATION:-
⇾ L.H.S
⇾ 5x - 15
⇾ 5 × 10.5 - 15 (BY BODMAS)
⇾ 5 × 10.5 = 52.5
⇾ 52.5 - 15
⇾ 52.5 - 15 = 37.5
⇾ 37.5
⇾ R.H.S
⇾ 3x + 6
⇾ 3 × 10.5 + 6 (BY BODMAS)
⇾ 3 × 10.5 = 31.5
⇾ 31.5 + 6
⇾ 31.5 + 6 = 37.5
⇾ 37.5
37.5 = 37.5
∴ L.H.S = R.H.S
Hence, Verified.
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