In the equation $2 x = 4 - x$ , transposing $- x$ to LHS, we get $x = 4$ .
State whether the statement is true (T) or false (F).

True

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False

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Solution

The correct option is B False
Solve for $x$
The given equation is $2 x = 4 - x$
Now on transposing $- x$ to LHS
$\begin{array}{rcl} \Rightarrow & 2 x + x = 4 \\ \Rightarrow & 3 x = 4 \\ \Rightarrow & x = \frac{4}{3} \end{array}$
Hence the value of $x$ is $\frac{4}{3}$ and therefore the given statement is false.

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