Solve for x
x=-\frac{2}{3}\approx -0.666666667
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20x-4\left(3x+2\right)=5\left(x-2\right)
Multiply both sides of the equation by 20, the least common multiple of 5,4.
20x-12x-8=5\left(x-2\right)
Use the distributive property to multiply -4 by 3x+2.
8x-8=5\left(x-2\right)
Combine 20x and -12x to get 8x.
8x-8=5x-10
Use the distributive property to multiply 5 by x-2.
8x-8-5x=-10
Subtract 5x from both sides.
3x-8=-10
Combine 8x and -5x to get 3x.
3x=-10+8
Add 8 to both sides.
3x=-2
Add -10 and 8 to get -2.
x=\frac{-2}{3}
Divide both sides by 3.
x=-\frac{2}{3}
Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.
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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