# Question #dc5d6

Sep 18, 2017

$- 12 x - 2 y + 3$

#### Explanation:

$x - 3 \left(x - y\right) - 4 - 5 \left(y + 2 x\right) + 7$
For simplifying the given term,we need to solve the brackets.
The first bracket can be solved by multiplying $- 3$ with $\left(x - y\right)$ and the second bracket can be solved by multiplying $- 5$ with $\left(y + 2 x\right)$

Now,$- 3 \left(x - y\right) = \left(- 3\right) x - \left(- 3\right) y$
Thus,$- 3 \left(x - y\right) = - 3 x + 3 y$
Similarly,$- 5 \left(y + 2 x\right) = \left(- 5\right) y + \left(- 5\right) 2 x$
Therefore,$- 5 \left(y + 2 x\right) = - 5 y - 10 x$

Placing these values in the term,we have
$x - 3 x + 3 y - 4 - 5 y - 10 x + 7$ , which is
$x - 3 x - 10 x + 3 y - 5 y - 4 + 7$ , which is
$- 12 x - 2 y + 3$

Therefore, $x - 3 \left(x - y\right) - 4 - 5 \left(y + 2 x\right) + 7 = - 12 x - 2 y + 3$