solve the equation algebraicly for the exact vaule of x CHECK YOUR WORK : THE equation IS 6 - 2/4 (x + 5) = 4x

x = 7/9

Step-by-step explanation:

Solve for x:

(-x - 5) / 2 + 6 = 4 x

Put each term in (-x - 5) / 2 + 6 over the common denominator 2: (-x - 5) / 2 + 6 = 12/2 + (-x - 5) / 2:

12/2 + (-x - 5) / 2 = 4 x

12/2 + (-x - 5) / 2 = ((-x - 5) + 12) / 2:

(-x - 5 + 12) / 2 = 4 x

Grouping like terms, - x - 5 + 12 = (12 - 5) - x:

((12 - 5) - x) / 2 = 4 x

12 - 5 = 7:

(7 - x) / 2 = 4 x

Multiply both sides by 2:

(2 (7 - x)) / 2 = 2*4 x

(2 (7 - x)) / 2 = 2/2 * (7 - x) = 7 - x:

7 - x = 2*4 x

2*4 = 8:

7 - x = 8 x

Subtract 8 x from both sides:

7 + (-x - 8 x) = 8 x - 8 x

-x - 8 x = - 9 x:

-9 x + 7 = 8 x - 8 x

8 x - 8 x = 0:

7 - 9 x = 0

Subtract 7 from both sides:

(7 - 7) - 9 x = - 7

7 - 7 = 0:

-9 x = - 7

Divide both sides of - 9 x = - 7 by - 9:

(-9 x) / (-9) = (-7) / (-9)

(-9) / (-9) = 1:

x = (-7) / (-9)

Multiply numerator and denominator of (-7) / (-9) by - 1:

Answer: x = 7/9