Solve the following equation to find the value of x. Type "infinite" or "none", if necessary. 6x - (5x+5) = -8 -2(x+12)

x = -9

Step-by-step explanation:

To solve these types of questions,

a). If both the sides of the equation are different,

    2x + 3 = 3x - 6

   There will be exactly one solution.

b). If the coefficient of variable 'x' is same in both the sides of the equation,

    x - 3 = x - 6

    Solution set will be 'none'.

c). If both the sides of the equation are exactly same then equation will have infinite solutions.

   2x + 3 = x + x + 3

In the given equation,

6x - (5x + 5) = -8 - 2(x + 12)

Further simplify the equation,

(6x - 5x) - 5 = - 8 - 2x - 24

x - 5 = -2x - 32

x + 2x = 5 - 32

3x = -27

x = -9