Solve for x
x\leq -1
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2x-3-\left(-x\right)\geq 5x-1
To find the opposite of 3-x, find the opposite of each term.
2x-3+x\geq 5x-1
The opposite of -x is x.
3x-3\geq 5x-1
Combine 2x and x to get 3x.
3x-3-5x\geq -1
Subtract 5x from both sides.
-2x-3\geq -1
Combine 3x and -5x to get -2x.
-2x\geq -1+3
Add 3 to both sides.
-2x\geq 2
Add -1 and 3 to get 2.
x\leq \frac{2}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
x\leq -1
Divide 2 by -2 to get -1.
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
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}