4x-9+6x=7+2x+3

Question

identity
no solution

Answer 1

To determine if this equation is an identity or has no solution, we need to simplify it further and see if both sides are equal or not.

Starting with the given equation: 4x - 9 + 6x = 7 + 2x + 3

Combining like terms on both sides:
10x - 9 = 2x + 10

Subtracting 2x from both sides:
10x - 2x - 9 = 2x - 2x + 10
8x - 9 = 10

Adding 9 to both sides:
8x - 9 + 9 = 10 + 9
8x = 19

Dividing both sides by 8:
(8x)/8 = 19/8
x = 19/8

Since x has a numerical value, this equation has a solution. Therefore, the equation is not an identity and does not fall under the category of having no solution.