Solve for x
x=2
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37-3x-5=9x-8\left(x-3\right)
To find the opposite of 3x+5, find the opposite of each term.
32-3x=9x-8\left(x-3\right)
Subtract 5 from 37 to get 32.
32-3x=9x-8x+24
Use the distributive property to multiply -8 by x-3.
32-3x=x+24
Combine 9x and -8x to get x.
32-3x-x=24
Subtract x from both sides.
32-4x=24
Combine -3x and -x to get -4x.
-4x=24-32
Subtract 32 from both sides.
-4x=-8
Subtract 32 from 24 to get -8.
x=\frac{-8}{-4}
Divide both sides by -4.
x=2
Divide -8 by -4 to get 2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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
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