Solve for x
x=-2
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5x-10-3\left(4-x\right)=2\left(x+3\right)-40
Use the distributive property to multiply 5 by x-2.
5x-10-12+3x=2\left(x+3\right)-40
Use the distributive property to multiply -3 by 4-x.
5x-22+3x=2\left(x+3\right)-40
Subtract 12 from -10 to get -22.
8x-22=2\left(x+3\right)-40
Combine 5x and 3x to get 8x.
8x-22=2x+6-40
Use the distributive property to multiply 2 by x+3.
8x-22=2x-34
Subtract 40 from 6 to get -34.
8x-22-2x=-34
Subtract 2x from both sides.
6x-22=-34
Combine 8x and -2x to get 6x.
6x=-34+22
Add 22 to both sides.
6x=-12
Add -34 and 22 to get -12.
x=\frac{-12}{6}
Divide both sides by 6.
x=-2
Divide -12 by 6 to get -2.
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y = 3x + 4
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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
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Limits
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