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Solve 3x-3+x=4x+8

Is there no solution, one solution or an infinite?

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Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
4.8 4.8 (4 lesson ratings) (4)
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3X - 3  +X = 4X + 8
    4X - 3 = 4X + 8    ( No Solution).

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Is this another way to solve and arrive at (no solution)?: 
3x-3+x=4x+8
3x-3+3+x=4x+8+3
3x+x=4x+11
4x=4x+11
4x/4=4x/4+11
x=x+11
Thank You So Much
Yes, you just add +3 to both sides of equation, and show that a number can not be equal to 11 greater than its value.