Order the equations from least to greatest based on the number of solutions to each equation. 3x-3=2x-2 - 4x-1=3 (-x) - 2 - 3x+6=2x+1

Given equations:

a) 3x-3=2x-2

b) - 4x-1=3 (-x) - 2

c) - 3x+6=2x+1

Let us solve them one by one.

a) 3x-3=2x-2

Adding 3 on both sides, we get

3x-3+3=2x-2+3

3x=2x

Subtracting 2x from both sides we get

3x-2x=2x-2x

x=0.

Therefore, only one solution 0.

b) - 4x-1=3 (-x) - 2

Multiplying 3 and - x on right side, we get

-4x-1 = -3x - 2.

Adding 1 on both sides, we get

-4x-1+1 = -3x - 2+1

-4x = -3x-1

Adding 3x on both sides, we get

-4x+3x = -3x+3x-1

-x = - 1.

Dividing both sides by - 1.

-x/-1 = - 1/-1

x=1.

Therefore, one solution 1.

c) - 3x+6=2x+1

Subtracting 6 from both sides, we get

c) - 3x+6-6=2x+1-6

-3x = 2x - 5.

Subtracting 2x from both sides, we get

-3x-2x = 2x-2x - 5.

-5x = -5.

Dividing both sides by - 5, we get

-5x/-5 = - 5/-5

x=1.

Therefore, all equations has one solution.

Solution for first equation 0.

Solution for second equation 1.

Solution for third equation 1.