Answer

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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,

$\begin{align}

& \Rightarrow x=22+6 \\

& \therefore x=28 \\

\end{align}$

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.

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