If -2 is the solution of the equation 2x + 1 - 3c = 2c + 3x - 7, find the value of c.
Answer Details
To find the value of c, we need to substitute -2 for x in the given equation and then solve for c.
Substituting -2 for x, we get:
2(-2) + 1 - 3c = 2c + 3(-2) - 7
Simplifying the equation, we get:
-4 + 1 - 3c = 2c - 6 - 7
Combining like terms, we get:
-3c - 3 = 2c - 13
Moving all the c terms to one side and all the constant terms to the other side, we get:
-3c - 2c = -13 + 3
Simplifying, we get:
-5c = -10
Dividing both sides by -5, we get:
c = 2
Therefore, the value of c is 2.