Solve for x
x\leq 3
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2x-6+5x\leq 3x+6
Use the distributive property to multiply 2 by x-3.
7x-6\leq 3x+6
Combine 2x and 5x to get 7x.
7x-6-3x\leq 6
Subtract 3x from both sides.
4x-6\leq 6
Combine 7x and -3x to get 4x.
4x\leq 6+6
Add 6 to both sides.
4x\leq 12
Add 6 and 6 to get 12.
x\leq \frac{12}{4}
Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.
x\leq 3
Divide 12 by 4 to get 3.
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}