Solve for x
x>5
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22+18.5x-13.3x>48
Subtract 13.3x from both sides.
22+5.2x>48
Combine 18.5x and -13.3x to get 5.2x.
5.2x>48-22
Subtract 22 from both sides.
5.2x>26
Subtract 22 from 48 to get 26.
x>\frac{26}{5.2}
Divide both sides by 5.2. Since 5.2 is positive, the inequality direction remains the same.
x>\frac{260}{52}
Expand \frac{26}{5.2} by multiplying both numerator and the denominator by 10.
x>5
Divide 260 by 52 to get 5.
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
\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}