• x(5-2)=4x-x
distributive property:
5x -2x = 4x -x
3x =3x
Infinite solutions
• 14x - 17 -8x + 2 = 12x +3 -x - 10
Combine like terms:
14x -8x -12x +x = 3 - 10 + 17 - 2
-5x= 8
x = -8/5
Unique solution
• 6(x-2)=6x-12
Apply distributive property:
6(x) + 6(-2) = 6x-12
6x - 12 = 6x - 12
Since both sides are equal:
Infinite solutions
• 2/3x - 7/4 = 4/3x - 2/3 (x+5)
Apply distributive property:
2/3x-7/4 = 4/3x - 2/3(x) - 2/3(5)
2/3x-7/4= 4/3x-2/3x - 10/3
Combine like terms
2/3x + 2/3x - 4/3x = -10/3 + 7/4
0 = -19/12
Since 0 is not equal to -19/12
No solution
