Find the value of x such that 5x – 12 = 18 - 5x .
Last updated date: 25th Mar 2023
•
Total views: 306.3k
•
Views today: 5.82k
Answer
306.3k+ views
Hint: To solve the question, we have to re-arrange the terms of the equation and apply the basic rule of addition and subtraction of terms to calculate the value of x.
Complete step-by-step answer:
The given expression is 5x – 12 = 18 - 5x.
By rearranging the terms of the equation, we get
5x – 12 + 5x = 18
Since when the term changes the side of the equation the sign of the term changes, the sign of 5x changes
By the like terms of the equation we get
10x – 12 = 18
10x = 18 + 12
The sign of 12 is changed since when the term changes the side of the equation the sign of the term changes.
10x = 30
\[x=\dfrac{30}{10}\]
We know that 30 = 10 \[\times \] 3, thus we get
\[x=\dfrac{10\times 3}{10}\]
By eliminating the common terms in numerator and denominator of the fraction we get,
x = 3
Thus, the value of x is equal to 3.
Note: The possibility of mistake can be not changing the signs of the terms when it changes the side of the equation. The possibility of calculation mistake can be ruled out since we can check the authenticity of the answer by substituting the x value in the given expression and check whether the calculated x value satisfies the given expression or not.
Complete step-by-step answer:
The given expression is 5x – 12 = 18 - 5x.
By rearranging the terms of the equation, we get
5x – 12 + 5x = 18
Since when the term changes the side of the equation the sign of the term changes, the sign of 5x changes
By the like terms of the equation we get
10x – 12 = 18
10x = 18 + 12
The sign of 12 is changed since when the term changes the side of the equation the sign of the term changes.
10x = 30
\[x=\dfrac{30}{10}\]
We know that 30 = 10 \[\times \] 3, thus we get
\[x=\dfrac{10\times 3}{10}\]
By eliminating the common terms in numerator and denominator of the fraction we get,
x = 3
Thus, the value of x is equal to 3.
Note: The possibility of mistake can be not changing the signs of the terms when it changes the side of the equation. The possibility of calculation mistake can be ruled out since we can check the authenticity of the answer by substituting the x value in the given expression and check whether the calculated x value satisfies the given expression or not.
Recently Updated Pages
Paulings electronegativity values for elements are class 11 chemistry CBSE

For a particle executing simple harmonic motion the class 11 physics CBSE

Does Nichrome have high resistance class 12 physics CBSE

The function f satisfies the functional equation 3fleft class 12 maths JEE_Main

Write a letter to the Principal of your school to plead class 10 english CBSE

Look at the handout below Write a letter to the organizers class 11 english CBSE

Trending doubts
What was the capital of Kanishka A Mathura B Purushapura class 7 social studies CBSE

Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Tropic of Cancer passes through how many states? Name them.

Write the 6 fundamental rights of India and explain in detail

Write a letter to the principal requesting him to grant class 10 english CBSE

Name the Largest and the Smallest Cell in the Human Body ?
