On the left side: (10x-3) + (12x-4) = 10x - 3 + 12x - 4 = 22x - 7
On the right side: 7 - (15-22x) = 7 - 15 + 22x = -8 + 22x = 22x - 8
So, the equation becomes: 22x - 7 = 22x - 8
Now, we can see that both sides of the equation are equal, but there is no solution because the variable (x) cancels out on both sides. This means that the equation is an identity and holds true for all values of x.
First, let's simplify both sides of the equation.
On the left side:
(10x-3) + (12x-4)
= 10x - 3 + 12x - 4
= 22x - 7
On the right side:
7 - (15-22x)
= 7 - 15 + 22x
= -8 + 22x
= 22x - 8
So, the equation becomes:
22x - 7 = 22x - 8
Now, we can see that both sides of the equation are equal, but there is no solution because the variable (x) cancels out on both sides. This means that the equation is an identity and holds true for all values of x.