Simplify the following expression and find the value when $x = - 2$
$2 (4 - 2 x) + 3 (1 - 4 x)$

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Solution

The given expression is $2 (4 - 2 x) + 3 (1 - 4 x)$
Step 1-
On simplifying the expression -
$= 2 (4 - 2 x) + 3 (1 - 4 x) = 8 - 2 x + 3 - 12 x = (8 + 3) + (- 2 x - 12 x) (g r o u p i n g t h e l i k e t e r m s) = 11 + (- 14 x) = 11 - 14 x$
Step 2-
Now, putting the value $x = - 2$ in $11 - 14 x$
$= 11 - 14 (- 2) = 11 - (14 \times - 2) = 11 - (- 28) = 11 + 28 = 39$
Hence, the required solution is $39$

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