Solve for x
x>7
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5x-35>21-3x
Multiply both sides of the equation by 5. Since 5 is positive, the inequality direction remains the same.
5x-35+3x>21
Add 3x to both sides.
8x-35>21
Combine 5x and 3x to get 8x.
8x>21+35
Add 35 to both sides.
8x>56
Add 21 and 35 to get 56.
x>\frac{56}{8}
Divide both sides by 8. Since 8 is positive, the inequality direction remains the same.
x>7
Divide 56 by 8 to get 7.
Examples
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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
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