Solve for x
x=-\frac{1}{14}\approx -0.071428571
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5+7x-\left(4-7x\right)=0
Subtract 4 from 9 to get 5.
5+7x-4-\left(-7x\right)=0
To find the opposite of 4-7x, find the opposite of each term.
5+7x-4+7x=0
The opposite of -7x is 7x.
1+7x+7x=0
Subtract 4 from 5 to get 1.
1+14x=0
Combine 7x and 7x to get 14x.
14x=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-1}{14}
Divide both sides by 14.
x=-\frac{1}{14}
Fraction \frac{-1}{14} can be rewritten as -\frac{1}{14} by extracting the negative sign.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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}