Solve for x
x<0
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3x-6>2\left(5x-3\right)
Use the distributive property to multiply 3 by x-2.
3x-6>10x-6
Use the distributive property to multiply 2 by 5x-3.
3x-6-10x>-6
Subtract 10x from both sides.
-7x-6>-6
Combine 3x and -10x to get -7x.
-7x>-6+6
Add 6 to both sides.
-7x>0
Add -6 and 6 to get 0.
x<0
Product of two numbers is >0 if both are >0 or both are <0. Since -7<0, x must be <0.
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