What is 4(5x-8)+(-(-8x-1)) ?

The solution to 4(5x-8)+(-(-8x-1)) is 28x-31

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simplify 4(5x-8)+(-(-8x-1))

simplify

4 (5 x - 8) + (- (- 8 x - 1))

28 x - 31

Solution steps

4 (5 x - 8) + (- (- 8 x - 1))

Apply rule:

a + (- b) = a - b

4 (5 x - 8) + (- (- 8 x - 1)) = 4 (5 x - 8) - (- 8 x - 1)

= 4 (5 x - 8) - (- 8 x - 1)

Apply the distributive law:

- (- a - b) = a + b

- (- 8 x - 1) = 8 x + 1

= 4 (5 x - 8) + 8 x + 1

Expand

4 (5 x - 8) : 20 x - 32

= 20 x - 32 + 8 x + 1

Group like terms

= 20 x + 8 x - 32 + 1

Add similar elements:

20 x + 8 x = 28 x

= 28 x - 32 + 1

Add the numbers:

- 32 + 1 = - 31

= 28 x - 31

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