Solve for x
x>-\frac{1}{4}
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-2x-3<10x
To find the opposite of 2x+3, find the opposite of each term.
-2x-3-10x<0
Subtract 10x from both sides.
-12x-3<0
Combine -2x and -10x to get -12x.
-12x<3
Add 3 to both sides. Anything plus zero gives itself.
x>\frac{3}{-12}
Divide both sides by -12. Since -12 is negative, the inequality direction is changed.
x>-\frac{1}{4}
Reduce the fraction \frac{3}{-12} to lowest terms by extracting and canceling out 3.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}