Solve for x
x\leq 1
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-3x-18+8\leq 12-5\left(2x+3\right)
Use the distributive property to multiply -3 by x+6.
-3x-10\leq 12-5\left(2x+3\right)
Add -18 and 8 to get -10.
-3x-10\leq 12-10x-15
Use the distributive property to multiply -5 by 2x+3.
-3x-10\leq -3-10x
Subtract 15 from 12 to get -3.
-3x-10+10x\leq -3
Add 10x to both sides.
7x-10\leq -3
Combine -3x and 10x to get 7x.
7x\leq -3+10
Add 10 to both sides.
7x\leq 7
Add -3 and 10 to get 7.
x\leq \frac{7}{7}
Divide both sides by 7. Since 7 is positive, the inequality direction remains the same.
x\leq 1
Divide 7 by 7 to get 1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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}