Solve for x
x=\frac{5}{9}\approx 0.555555556
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-4x+8=6x-\left(-3+x\right)
Use the distributive property to multiply -2 by 2x-4.
-4x+8=6x-\left(-3\right)-x
To find the opposite of -3+x, find the opposite of each term.
-4x+8=6x+3-x
The opposite of -3 is 3.
-4x+8=5x+3
Combine 6x and -x to get 5x.
-4x+8-5x=3
Subtract 5x from both sides.
-9x+8=3
Combine -4x and -5x to get -9x.
-9x=3-8
Subtract 8 from both sides.
-9x=-5
Subtract 8 from 3 to get -5.
x=\frac{-5}{-9}
Divide both sides by -9.
x=\frac{5}{9}
Fraction \frac{-5}{-9} can be simplified to \frac{5}{9} 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}