Solve for x
x<\frac{7}{3}
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x-4x+2<3\left(3-2x\right)
Use the distributive property to multiply -2 by 2x-1.
-3x+2<3\left(3-2x\right)
Combine x and -4x to get -3x.
-3x+2<9-6x
Use the distributive property to multiply 3 by 3-2x.
-3x+2+6x<9
Add 6x to both sides.
3x+2<9
Combine -3x and 6x to get 3x.
3x<9-2
Subtract 2 from both sides.
3x<7
Subtract 2 from 9 to get 7.
x<\frac{7}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
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}