79.6k views
4 votes
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-example-1
User Viliamm
by
4.7k points

1 Answer

6 votes

Answer:

x = -9

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

User Hari C
by
4.2k points