Solve for x
x<-\frac{6}{5}
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7\left(2x+3\right)<3\left(3x+5\right)
Multiply both sides of the equation by 21, the least common multiple of 3,7. Since 21 is positive, the inequality direction remains the same.
14x+21<3\left(3x+5\right)
Use the distributive property to multiply 7 by 2x+3.
14x+21<9x+15
Use the distributive property to multiply 3 by 3x+5.
14x+21-9x<15
Subtract 9x from both sides.
5x+21<15
Combine 14x and -9x to get 5x.
5x<15-21
Subtract 21 from both sides.
5x<-6
Subtract 21 from 15 to get -6.
x<-\frac{6}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
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
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}