Solve the following equation to find the value of x. Type "infinite" or "none", if necessary.
6x - (5x+5) = -8 -2(x+12)
![Solve the following equation to find the value of x Type infinite or none if necessary 6x 5x5 8 2x12 class=](https://us-static.z-dn.net/files/d98/00197368b66708e9b96d90c3cb9b4a60.png)
Answer:
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