3+2(x-(2x+2))=2(x+(3x-1)
Solve for x
x=\frac{1}{10}=0.1
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3+2\left(x-2x-2\right)=2\left(x+3x-1\right)
To find the opposite of 2x+2, find the opposite of each term.
3+2\left(-x-2\right)=2\left(x+3x-1\right)
Combine x and -2x to get -x.
3-2x-4=2\left(x+3x-1\right)
Use the distributive property to multiply 2 by -x-2.
-1-2x=2\left(x+3x-1\right)
Subtract 4 from 3 to get -1.
-1-2x=2\left(4x-1\right)
Combine x and 3x to get 4x.
-1-2x=8x-2
Use the distributive property to multiply 2 by 4x-1.
-1-2x-8x=-2
Subtract 8x from both sides.
-1-10x=-2
Combine -2x and -8x to get -10x.
-10x=-2+1
Add 1 to both sides.
-10x=-1
Add -2 and 1 to get -1.
x=\frac{-1}{-10}
Divide both sides by -10.
x=\frac{1}{10}
Fraction \frac{-1}{-10} can be simplified to \frac{1}{10} by removing the negative sign from both the numerator and the denominator.
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
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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}