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

Last updated date: 25th Mar 2023

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Answer

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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.

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