Solve for x
x=\frac{16}{17}\approx 0.941176471
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-4x-\left(-6\right)+9=7x-\left(1-6x\right)
To find the opposite of 4x-6, find the opposite of each term.
-4x+6+9=7x-\left(1-6x\right)
The opposite of -6 is 6.
-4x+15=7x-\left(1-6x\right)
Add 6 and 9 to get 15.
-4x+15=7x-1-\left(-6x\right)
To find the opposite of 1-6x, find the opposite of each term.
-4x+15=7x-1+6x
The opposite of -6x is 6x.
-4x+15=13x-1
Combine 7x and 6x to get 13x.
-4x+15-13x=-1
Subtract 13x from both sides.
-17x+15=-1
Combine -4x and -13x to get -17x.
-17x=-1-15
Subtract 15 from both sides.
-17x=-16
Subtract 15 from -1 to get -16.
x=\frac{-16}{-17}
Divide both sides by -17.
x=\frac{16}{17}
Fraction \frac{-16}{-17} can be simplified to \frac{16}{17} by removing the negative sign from both the numerator and the denominator.
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}