Solve for x
x<3
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15x<10x+15
Use the distributive property to multiply 5 by 2x+3.
15x-10x<15
Subtract 10x from both sides.
5x<15
Combine 15x and -10x to get 5x.
x<\frac{15}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
x<3
Divide 15 by 5 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
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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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