Solve for x
x<\frac{2}{3}
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3x-6-6x>-8
Subtract 6x from both sides.
-3x-6>-8
Combine 3x and -6x to get -3x.
-3x>-8+6
Add 6 to both sides.
-3x>-2
Add -8 and 6 to get -2.
x<\frac{-2}{-3}
Divide both sides by -3. Since -3 is negative, the inequality direction is changed.
x<\frac{2}{3}
Fraction \frac{-2}{-3} can be simplified to \frac{2}{3} by removing the negative sign from both the numerator and the denominator.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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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
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Limits
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