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8x+3>10x-15-2x
Use the distributive property to multiply 5 by 2x-3.
8x+3>8x-15
Combine 10x and -2x to get 8x.
8x+3-8x>-15
Subtract 8x from both sides.
3>-15
Combine 8x and -8x to get 0.
x\in \mathrm{R}
This is true for any x.