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Six less than x equals twenty two? What is x?

Last updated date: 17th Jul 2024
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Hint: First of all form a linear algebraic expression in x for the given condition. Subtract 6 from the variable x whose exponent will be 1 and equate the difference with 22. Solve the equation for the value of x by leaving the variable x in the L.H.S and taking all the constant terms to the R.H.S. Use simple arithmetic operations (addition and subtraction) to simplify the R.H.S and get the answer.

Complete step by step solution:
Here we have been provided with the statement ‘six less than x is equal to twenty – two’ and we are asked to find the value of x. First we need to form the algebraic expression.
Now, here x is the variable whose value is to be determined. The exponent of x will be 1 so the required expression will be a linear equation. It is said that ‘six less than x’ means six is subtracted from x. This difference is equal to 22, so we get the mathematical relation as: -
$\Rightarrow x-6=22$
To solve the above linear equation we need to leave the variable x in the L.H.S and take all the constant terms to the R.H.S and simplify using simple addition or subtraction. Therefore we get,
  & \Rightarrow x=22+6 \\
 & \therefore x=28 \\
Hence, the value of x is 28.

Note: Note that if you want to check the answer then you may relate the obtained value with the provided statement. Clearly 6 less than 28 will be equal to 22 hence the condition in the statement is satisfied therefore x = 28 is the correct answer. You must be careful while forming the algebraic equation as even a small sign mistake can lead to a wrong answer.