Solve the inequalities

12-5x > 8-3x

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Answer: x < 2

Step-by-step explanation:

12 - 5x > 8 - 3x

Now, add 5x on both sides

12 - 5x + 5x > 8 - 3x + 5x

12 > 8 + 2x

Now, subtracting by 8 on both sides

12 - 8 > 8 - 8 + 2x

4 > 2x

Now, dividing by 2 on both sides

4/2 > 2x/2

2 > x, which is same as x < 2.