What is x+3+[4-(x+5)+3(-7+x)] ?

The solution to x+3+[4-(x+5)+3(-7+x)] is 3x-19

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simplify x+3+[4-(x+5)+3(-7+x)]

simplify

x + 3 + [4 - (x + 5) + 3 (- 7 + x)]

3 x - 19

Solution steps

x + 3 + (4 - (x + 5) + 3 (- 7 + x))

Apply rule:

a + (b + c) = a + b + c

3 + (4 - (x + 5) + 3 (- 7 + x)) = 3 + 4 - (x + 5) + 3 (- 7 + x)

= x + 3 + 4 - (x + 5) + 3 (- 7 + x)

Add the numbers:

3 + 4 = 7

= x + 7 - (x + 5) + 3 (- 7 + x)

Apply the distributive law:

- (a + b) = - a - b

- (x + 5) = - x - 5

= x + 7 - x - 5 + 3 (- 7 + x)

Expand

3 (- 7 + x) : - 21 + 3 x

= x + 7 - x - 5 - 21 + 3 x

Group like terms

= x - x + 3 x + 7 - 5 - 21

Add similar elements:

x - x + 3 x = 3 x

= 3 x + 7 - 5 - 21

Subtract the numbers:

7 - 5 - 21 = - 19

= 3 x - 19

4 \frac{1}{3} \div 1 \frac{2}{5}

(x + 1) (x + 2) (2 x + 3)

\frac{144}{25}

(m - n - 1) (m - n + 1)

(- 5) + (- 13)