# How do you simplify 2x + 3x - 5x ( 2+ x ) + 4- x ( 3+ 4)?

Mar 12, 2018

$- 5 {x}^{2} - 12 x + 4$

#### Explanation:

$2 x + 3 x - 5 x \left(2 + x\right) + 4 - x \left(3 + 4\right)$

Removing all the brackets by multiplying it with the integer outside the bracket;

$2 x + 3 x - 10 x - 5 {x}^{2} + 4 - 3 x - 4 x$

Simiplifying the equation;

$2 x + 3 x - 10 x - 3 x - 4 x - 5 {x}^{2} + 4$

$- 12 x - 5 {x}^{2} + 4$

$- 5 {x}^{2} - 12 x + 4 \to \text{simplified}$

Mar 12, 2018

$- 5 {x}^{2} - 12 x + 4$

#### Explanation:

I'm going to do an entire dang proof for this lol

$2 x + 3 x - 5 x \left(2 + x\right) + 4 - x \left(3 + 4\right) =$
1. Original Problem

$2 x + 3 x - 5 x \left(2 + x\right) + 4 - x \left(7\right) =$
2. Solve within the parenthesis (following PEMDAS)

$2 x + 3 x - 10 x - 5 {x}^{2} + 4 - 7 x =$
3. Distribute

$- 5 {x}^{2} - 12 x + 4$
4. Simplify

And that's it