3x-3>5x-3x

Rewrite so x is on the left side of the inequality.

5x-3x<3x-3

Subtract 3x from 5x.

2x<3x-3

Subtract 3x from both sides of the inequality.

2x-3x<-3

Subtract 3x from 2x.

-x<-3

-x<-3

Multiply each term in -x<-3 by -1. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

(-x)⋅-1>(-3)⋅-1

Multiply (-x)⋅-1.

Multiply -1 by -1.

1x>(-3)⋅-1

Multiply x by 1.

x>(-3)⋅-1

x>(-3)⋅-1

Multiply -3 by -1.

x>3

x>3

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Graph 3x-3>5x-3x