2x-3>7x-6x

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

7x-6x<2x-3

Subtract 6x from 7x.

x<2x-3

Subtract 2x from both sides of the inequality.

x-2x<-3

Subtract 2x from x.

-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 2x-3>7x-6x