Solve for x
x\geq \frac{5}{12}
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2x+5\leq 14x
Multiply 7 and 2 to get 14.
2x+5-14x\leq 0
Subtract 14x from both sides.
-12x+5\leq 0
Combine 2x and -14x to get -12x.
-12x\leq -5
Subtract 5 from both sides. Anything subtracted from zero gives its negation.
x\geq \frac{-5}{-12}
Divide both sides by -12. Since -12 is negative, the inequality direction is changed.
x\geq \frac{5}{12}
Fraction \frac{-5}{-12} can be simplified to \frac{5}{12} 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
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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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