# Find the value of x such that 5x – 12 = 18 - 5x .

Answer

Verified

361.8k+ 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.

Last updated date: 27th Sep 2023

•

Total views: 361.8k

•

Views today: 6.61k

Recently Updated Pages

What do you mean by public facilities

Paragraph on Friendship

Slogan on Noise Pollution

Disadvantages of Advertising

Prepare a Pocket Guide on First Aid for your School

10 Slogans on Save the Tiger

Trending doubts

How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Difference Between Plant Cell and Animal Cell

One cusec is equal to how many liters class 8 maths CBSE

The equation xxx + 2 is satisfied when x is equal to class 10 maths CBSE

What is the color of ferrous sulphate crystals? How does this color change after heating? Name the products formed on strongly heating ferrous sulphate crystals. What type of chemical reaction occurs in this type of change.

Give 10 examples for herbs , shrubs , climbers , creepers

Change the following sentences into negative and interrogative class 10 english CBSE