Question

−5(−x−1)+4x−1= 49 solve for x

Answer 1

EVALUATE

=9x+4

St−5(−x−1)+4x−1

Use the distributive property to multiply −5 by −x−1.

−5(−x)+5+4x−1

Multiply −5 and −1 to get 5.

5x+5+4x−1

Combine 5x and 4x to get 9x.

9x+5−1

Subtract 1 from 5 to get 4.

9x+4

EXPAND

=9x+4

−5(−x−1)+4x−1

Use the distributive property to multiply −5 by −x−1.

−5(−x)+5+4x−1

Multiply −5 and −1 to get 5.

5x+5+4x−1

Combine 5x and 4x to get 9x.

9x+5−1

Subtract 1 from 5 to get 4.

9x+4

Answer 2

x = 5

Explanation:

Solve for x:

-1 - 5 (-x - 1) + 4 x = 49

-5 (-x - 1) = 5 x + 5:

(5 x + 5) + 4 x - 1 = 49

Grouping like terms, 5 x + 4 x - 1 + 5 = (5 x + 4 x) + (-1 + 5):

((5 x + 4 x) + (-1 + 5)) = 49

5 x + 4 x = 9 x:

9 x + (-1 + 5) = 49

5 - 1 = 4:

9 x + 4 = 49

Subtract 4 from both sides:

9 x + (4 - 4) = 49 - 4

4 - 4 = 0:

9 x = 49 - 4

49 - 4 = 45:

9 x = 45

Divide both sides of 9 x = 45 by 9:

(9 x)/9 = 45/9

9/9 = 1:

x = 45/9

The gcd of 45 and 9 is 9, so 45/9 = (9×5)/(9×1) = 9/9×5 = 5:

Answer: x = 5