Solve for x
x=3
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8-4x-1-x+2\left(10-2x\right)=0
Use the distributive property to multiply 2 by 4-2x.
7-4x-x+2\left(10-2x\right)=0
Subtract 1 from 8 to get 7.
7-5x+2\left(10-2x\right)=0
Combine -4x and -x to get -5x.
7-5x+20-4x=0
Use the distributive property to multiply 2 by 10-2x.
27-5x-4x=0
Add 7 and 20 to get 27.
27-9x=0
Combine -5x and -4x to get -9x.
-9x=-27
Subtract 27 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-27}{-9}
Divide both sides by -9.
x=3
Divide -27 by -9 to get 3.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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}