Solve each given equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solution, identify each equation as an identify, a contradiction, or neither

a) 20-4x=12-x+8-3x

b) 5x+4x-3=24+8x

c) 5x+6=2x+6+3x-15

Step-by-step explanation:

a) 20 - 4x = 12 - x + 8 - 3x

20 - 4x = 12 + 8 - x - 3x 20 - 4x = 20 - 4x x has an infinite number of solutions identity

b) 5x + 4x - 3 = 24 + 8x

9x - 3 = 24 + 8x 9x - 8x - 3 = 24 + 8x - 8x x - 3 = 24 x - 3 + 3 = 24 + 3 x = 27 x has one solution neither

c) 5x + 6 = 2x + 6 + 3x - 15

5x + 6 - 2x = 2x + 6 + 3x - 15 - 2x 3x + 6 = 6 + 3x - 15 3x + 6 - 3x = 6 + 3x - 15 - 3x 6 = 6 - 15 no solution contradiction