Solve for x
x=\frac{1}{3}\approx 0.333333333
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6-2x-\left(3x+1\right)=8-2\left(x+2\right)
Use the distributive property to multiply 2 by 3-x.
6-2x-3x-1=8-2\left(x+2\right)
To find the opposite of 3x+1, find the opposite of each term.
6-5x-1=8-2\left(x+2\right)
Combine -2x and -3x to get -5x.
5-5x=8-2\left(x+2\right)
Subtract 1 from 6 to get 5.
5-5x=8-2x-4
Use the distributive property to multiply -2 by x+2.
5-5x=4-2x
Subtract 4 from 8 to get 4.
5-5x+2x=4
Add 2x to both sides.
5-3x=4
Combine -5x and 2x to get -3x.
-3x=4-5
Subtract 5 from both sides.
-3x=-1
Subtract 5 from 4 to get -1.
x=\frac{-1}{-3}
Divide both sides by -3.
x=\frac{1}{3}
Fraction \frac{-1}{-3} can be simplified to \frac{1}{3} by removing the negative sign from both the numerator and the denominator.
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
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}