Solve for x
x\leq 5
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-\frac{1}{5}x+3\leq -\frac{2}{5}x+4
Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.
-\frac{1}{5}x+3+\frac{2}{5}x\leq 4
Add \frac{2}{5}x to both sides.
\frac{1}{5}x+3\leq 4
Combine -\frac{1}{5}x and \frac{2}{5}x to get \frac{1}{5}x.
\frac{1}{5}x\leq 4-3
Subtract 3 from both sides.
\frac{1}{5}x\leq 1
Subtract 3 from 4 to get 1.
x\leq 1\times 5
Multiply both sides by 5, the reciprocal of \frac{1}{5}. Since \frac{1}{5} is positive, the inequality direction remains the same.
x\leq 5
Multiply 1 and 5 to get 5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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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
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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