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2x-x-4<5\left(x+1\right)-1
To find the opposite of x+4, find the opposite of each term.
x-4<5\left(x+1\right)-1
Combine 2x and -x to get x.
x-4<5x+5-1
Use the distributive property to multiply 5 by x+1.
x-4<5x+4
Subtract 1 from 5 to get 4.
x-4-5x<4
Subtract 5x from both sides.
-4x-4<4
Combine x and -5x to get -4x.
-4x<4+4
Add 4 to both sides.
-4x<8
Add 4 and 4 to get 8.
x>\frac{8}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
x>-2
Divide 8 by -4 to get -2.