What is 14x-(x-1)+(2x+6) ?

The solution to 14x-(x-1)+(2x+6) is 15x+7

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simplify 14x-(x-1)+(2x+6)

simplify

14 x - (x - 1) + (2 x + 6)

15 x + 7

Solution steps

14 x - (x - 1) + (2 x + 6)

Apply rule:

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

- (x - 1) + (2 x + 6) = - (x - 1) + 2 x + 6

= 14 x - (x - 1) + 2 x + 6

Group like terms

= - (x - 1) + 14 x + 2 x + 6

Add similar elements:

14 x + 2 x = 16 x

= - (x - 1) + 16 x + 6

Apply the distributive law:

- (a - b) = - a + b

- (x - 1) = - x + 1

= - x + 1 + 16 x + 6

Group like terms

= - x + 16 x + 1 + 6

Add similar elements:

- x + 16 x = 15 x

= 15 x + 1 + 6

Add the numbers:

1 + 6 = 7

= 15 x + 7

3 x^{2} - 40 x + 128

(2 x + 3) (4 x + 5)

3 (- 1)^{\frac{2}{3}} + 2