12x+9=8x+1=4x

2(x-3)=10x-6-8x

5x+6=5x-4

please help me identify if these equations have one solution, infinity or no solution

one solution, infinite solutions, no solution

Step-by-step explanation:

12x+9=8x+1=4x = 1 solution

12x+9=8x=1=4x

We move all terms to the left:

12x+9-(8x)=0

We add all the numbers together, and all the variables

4x+9=0

We move all terms containing x to the left, all other terms to the right

4x=-9

x=-9/4

x=-2+1/4

2(x-3)=10x-6-8x = infinite solutions

Simplifying

2(x + -3) = 10x + -6 + -8x

Reorder the terms:

2(-3 + x) = 10x + -6 + -8x

(-3 * 2 + x * 2) = 10x + -6 + -8x

(-6 + 2x) = 10x + -6 + -8x

Reorder the terms:

-6 + 2x = -6 + 10x + -8x

Combine like terms: 10x + -8x = 2x

-6 + 2x = -6 + 2x

Add '6' to each side of the equation.

-6 + 6 + 2x = -6 + 6 + 2x

Combine like terms: -6 + 6 = 0

0 + 2x = -6 + 6 + 2x

2x = -6 + 6 + 2x

Combine like terms: -6 + 6 = 0

2x = 0 + 2x

2x = 2x

Add '-2x' to each side of the equation.

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

Combine like terms: 2x + -2x = 0

0 = 2x + -2x

Combine like terms: 2x + -2x = 0

0 = 0

Solving

0 = 0

5x+6=5x-4= no solutions

Simplifying

5x + -6 = 5x + -4

Reorder the terms:

-6 + 5x = 5x + -4

Reorder the terms:

-6 + 5x = -4 + 5x

Add '-5x' to each side of the equation.

-6 + 5x + -5x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0

-6 + 0 = -4 + 5x + -5x

-6 = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0

-6 = -4 + 0

-6 = -4

Solving

-6 = -4

what level of math? also i don't need to be paid if i can you.