Solve for x
x=5
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x-\left(2+x-\left(3x+2x-8\right)\right)=20-x
Use the distributive property to multiply 2 by x-4.
x-\left(2+x-\left(5x-8\right)\right)=20-x
Combine 3x and 2x to get 5x.
x-\left(2+x-5x-\left(-8\right)\right)=20-x
To find the opposite of 5x-8, find the opposite of each term.
x-\left(2+x-5x+8\right)=20-x
The opposite of -8 is 8.
x-\left(2-4x+8\right)=20-x
Combine x and -5x to get -4x.
x-\left(10-4x\right)=20-x
Add 2 and 8 to get 10.
x-10-\left(-4x\right)=20-x
To find the opposite of 10-4x, find the opposite of each term.
x-10+4x=20-x
The opposite of -4x is 4x.
5x-10=20-x
Combine x and 4x to get 5x.
5x-10+x=20
Add x to both sides.
6x-10=20
Combine 5x and x to get 6x.
6x=20+10
Add 10 to both sides.
6x=30
Add 20 and 10 to get 30.
x=\frac{30}{6}
Divide both sides by 6.
x=5
Divide 30 by 6 to get 5.
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
Arithmetic
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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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}