Solve for x
x>1
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2\left(2x-5\right)>3\left(x-3\right)
Multiply both sides of the equation by 6, the least common multiple of 3,2. Since 6 is positive, the inequality direction remains the same.
4x-10>3\left(x-3\right)
Use the distributive property to multiply 2 by 2x-5.
4x-10>3x-9
Use the distributive property to multiply 3 by x-3.
4x-10-3x>-9
Subtract 3x from both sides.
x-10>-9
Combine 4x and -3x to get x.
x>-9+10
Add 10 to both sides.
x>1
Add -9 and 10 to get 1.
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Limits
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