Solve for x
x\leq 8
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3x+6\geq 5x-10
Use the distributive property to multiply 5 by x-2.
3x+6-5x\geq -10
Subtract 5x from both sides.
-2x+6\geq -10
Combine 3x and -5x to get -2x.
-2x\geq -10-6
Subtract 6 from both sides.
-2x\geq -16
Subtract 6 from -10 to get -16.
x\leq \frac{-16}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x\leq 8
Divide -16 by -2 to get 8.
Examples
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{ 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}