Solve for x
x=-2
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-x-4+5x+15=5\left(-1-x\right)-2
Use the distributive property to multiply 5 by x+3.
-x+11+5x=5\left(-1-x\right)-2
Add -4 and 15 to get 11.
-x+11+5x=-5-5x-2
Use the distributive property to multiply 5 by -1-x.
-x+11+5x=-7-5x
Subtract 2 from -5 to get -7.
-x+11+5x+5x=-7
Add 5x to both sides.
-x+11+10x=-7
Combine 5x and 5x to get 10x.
-x+10x=-7-11
Subtract 11 from both sides.
-x+10x=-18
Subtract 11 from -7 to get -18.
9x=-18
Combine -x and 10x to get 9x.
x=\frac{-18}{9}
Divide both sides by 9.
x=-2
Divide -18 by 9 to get -2.
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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\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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