Solve for x
x>7
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12x-3>8x+20+5
Use the distributive property to multiply 4 by 2x+5.
12x-3>8x+25
Add 20 and 5 to get 25.
12x-3-8x>25
Subtract 8x from both sides.
4x-3>25
Combine 12x and -8x to get 4x.
4x>25+3
Add 3 to both sides.
4x>28
Add 25 and 3 to get 28.
x>\frac{28}{4}
Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.
x>7
Divide 28 by 4 to get 7.
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}