Solve for x
x>6
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-25-\left(x+4\right)>55-15x
Multiply both sides of the equation by 5. Since 5 is positive, the inequality direction remains the same.
-25-x-4>55-15x
To find the opposite of x+4, find the opposite of each term.
-29-x>55-15x
Subtract 4 from -25 to get -29.
-29-x+15x>55
Add 15x to both sides.
-29+14x>55
Combine -x and 15x to get 14x.
14x>55+29
Add 29 to both sides.
14x>84
Add 55 and 29 to get 84.
x>\frac{84}{14}
Divide both sides by 14. Since 14 is positive, the inequality direction remains the same.
x>6
Divide 84 by 14 to get 6.
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}