Solve for x
x=\frac{10}{11}\approx 0.909090909
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5\left(4-2x\right)=4\times 3x
Multiply both sides of the equation by 20, the least common multiple of 4,5.
20-10x=4\times 3x
Use the distributive property to multiply 5 by 4-2x.
20-10x=12x
Multiply 4 and 3 to get 12.
20-10x-12x=0
Subtract 12x from both sides.
20-22x=0
Combine -10x and -12x to get -22x.
-22x=-20
Subtract 20 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-20}{-22}
Divide both sides by -22.
x=\frac{10}{11}
Reduce the fraction \frac{-20}{-22} to lowest terms by extracting and canceling out -2.
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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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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