Solve for x
x\geq 3
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-15x+5+12\leq -11x+5
Use the distributive property to multiply -5 by 3x-1.
-15x+17\leq -11x+5
Add 5 and 12 to get 17.
-15x+17+11x\leq 5
Add 11x to both sides.
-4x+17\leq 5
Combine -15x and 11x to get -4x.
-4x\leq 5-17
Subtract 17 from both sides.
-4x\leq -12
Subtract 17 from 5 to get -12.
x\geq \frac{-12}{-4}
Divide both sides by -4. Since -4 is negative, the inequality direction is changed.
x\geq 3
Divide -12 by -4 to get 3.
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}