Solve for x
x<\frac{13}{4}
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2x-6-\left(6x-1\right)>-18
Use the distributive property to multiply 2 by x-3.
2x-6-6x-\left(-1\right)>-18
To find the opposite of 6x-1, find the opposite of each term.
2x-6-6x+1>-18
The opposite of -1 is 1.
-4x-6+1>-18
Combine 2x and -6x to get -4x.
-4x-5>-18
Add -6 and 1 to get -5.
-4x>-18+5
Add 5 to both sides.
-4x>-13
Add -18 and 5 to get -13.
x<\frac{-13}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
x<\frac{13}{4}
Fraction \frac{-13}{-4} can be simplified to \frac{13}{4} by removing the negative sign from both the numerator and the denominator.
Examples
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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