Question

-3x-4(x-1)=5(2x+1)+6x

Answer 1

Answer:

x = (-1)/23

Step-by-step explanation:

Solve for x:

-3 x - 4 (x - 1) = 5 (2 x + 1) + 6 x

-4 (x - 1) = 4 - 4 x:

4 - 4 x - 3 x = 5 (2 x + 1) + 6 x

Grouping like terms, -3 x - 4 x + 4 = 4 + (-3 x - 4 x):

4 + (-3 x - 4 x) = 5 (2 x + 1) + 6 x

-3 x - 4 x = -7 x:

-7 x + 4 = 5 (2 x + 1) + 6 x

5 (2 x + 1) = 10 x + 5:

4 - 7 x = 10 x + 5 + 6 x

Grouping like terms, 10 x + 6 x + 5 = (10 x + 6 x) + 5:

4 - 7 x = (10 x + 6 x) + 5

10 x + 6 x = 16 x:

4 - 7 x = 16 x + 5

Subtract 16 x from both sides:

4 + (-7 x - 16 x) = (16 x - 16 x) + 5

-7 x - 16 x = -23 x:

-23 x + 4 = (16 x - 16 x) + 5

16 x - 16 x = 0:

4 - 23 x = 5

Subtract 4 from both sides:

(4 - 4) - 23 x = 5 - 4

4 - 4 = 0:

-23 x = 5 - 4

5 - 4 = 1:

-23 x = 1

Divide both sides by -23:

Answer:  x = (-1)/23