Solve for x
x=\frac{1}{3}\approx 0.333333333
Graph
Share
Copied to clipboard
-4\left(10x-1-4\right)=20x
Combine 8x and 2x to get 10x.
-4\left(10x-5\right)=20x
Subtract 4 from -1 to get -5.
-40x+20=20x
Use the distributive property to multiply -4 by 10x-5.
-40x+20-20x=0
Subtract 20x from both sides.
-60x+20=0
Combine -40x and -20x to get -60x.
-60x=-20
Subtract 20 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-20}{-60}
Divide both sides by -60.
x=\frac{1}{3}
Reduce the fraction \frac{-20}{-60} to lowest terms by extracting and canceling out -20.
Examples
Quadratic equation
{ 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}