3x-4<7x-5x

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

7x-5x>3x-4

Subtract 5x from 7x.

2x>3x-4

Subtract 3x from both sides of the inequality.

2x-3x>-4

Subtract 3x from 2x.

-x>-4

-x>-4

Multiply each term in -x>-4 by -1. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

(-x)⋅-1<(-4)⋅-1

Multiply (-x)⋅-1.

Multiply -1 by -1.

1x<(-4)⋅-1

Multiply x by 1.

x<(-4)⋅-1

x<(-4)⋅-1

Multiply -4 by -1.

x<4

x<4

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