Solve for x
x>-\frac{38}{21}
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6x+8-5\left(x-9\right)>8\left(2x-6\right)-9\left(4x-7\right)
Use the distributive property to multiply 2 by 3x+4.
6x+8-5x+45>8\left(2x-6\right)-9\left(4x-7\right)
Use the distributive property to multiply -5 by x-9.
x+8+45>8\left(2x-6\right)-9\left(4x-7\right)
Combine 6x and -5x to get x.
x+53>8\left(2x-6\right)-9\left(4x-7\right)
Add 8 and 45 to get 53.
x+53>16x-48-9\left(4x-7\right)
Use the distributive property to multiply 8 by 2x-6.
x+53>16x-48-36x+63
Use the distributive property to multiply -9 by 4x-7.
x+53>-20x-48+63
Combine 16x and -36x to get -20x.
x+53>-20x+15
Add -48 and 63 to get 15.
x+53+20x>15
Add 20x to both sides.
21x+53>15
Combine x and 20x to get 21x.
21x>15-53
Subtract 53 from both sides.
21x>-38
Subtract 53 from 15 to get -38.
x>-\frac{38}{21}
Divide both sides by 21. Since 21 is positive, the inequality direction remains the same.
Examples
Quadratic equation
{ 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}