Solve for x
x>7
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6x-5>x+30
Multiply both sides of the equation by 3. Since 3 is positive, the inequality direction remains the same.
6x-5-x>30
Subtract x from both sides.
5x-5>30
Combine 6x and -x to get 5x.
5x>30+5
Add 5 to both sides.
5x>35
Add 30 and 5 to get 35.
x>\frac{35}{5}
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
x>7
Divide 35 by 5 to get 7.
Examples
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Linear equation
y = 3x + 4
Arithmetic
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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
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