Solve for x
x<4
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2\left(3x-7\right)<5\left(x-2\right)
Multiply both sides of the equation by 10, the least common multiple of 5,2. Since 10 is positive, the inequality direction remains the same.
6x-14<5\left(x-2\right)
Use the distributive property to multiply 2 by 3x-7.
6x-14<5x-10
Use the distributive property to multiply 5 by x-2.
6x-14-5x<-10
Subtract 5x from both sides.
x-14<-10
Combine 6x and -5x to get x.
x<-10+14
Add 14 to both sides.
x<4
Add -10 and 14 to get 4.
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