Solve for x
x<1
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2\left(x-3+3x\right)+1<3x
Use the distributive property to multiply -3 by 1-x.
2\left(4x-3\right)+1<3x
Combine x and 3x to get 4x.
8x-6+1<3x
Use the distributive property to multiply 2 by 4x-3.
8x-5<3x
Add -6 and 1 to get -5.
8x-5-3x<0
Subtract 3x from both sides.
5x-5<0
Combine 8x and -3x to get 5x.
5x<5
Add 5 to both sides. Anything plus zero gives itself.
x<\frac{5}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
x<1
Divide 5 by 5 to get 1.
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}