Solve for x
x=\frac{2}{3}\approx 0.666666667
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5x-4-\left(-2x\right)=2-2x
To find the opposite of 4-2x, find the opposite of each term.
5x-4+2x=2-2x
The opposite of -2x is 2x.
7x-4=2-2x
Combine 5x and 2x to get 7x.
7x-4+2x=2
Add 2x to both sides.
9x-4=2
Combine 7x and 2x to get 9x.
9x=2+4
Add 4 to both sides.
9x=6
Add 2 and 4 to get 6.
x=\frac{6}{9}
Divide both sides by 9.
x=\frac{2}{3}
Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.
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}