Solve for x
x=\frac{13}{17}\approx 0.764705882
Graph
Share
Copied to clipboard
-2\left(1+x\right)=\left(x-1\right)\left(17-2\right)
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by 2\left(x-1\right), the least common multiple of 1-x,2.
-2-2x=\left(x-1\right)\left(17-2\right)
Use the distributive property to multiply -2 by 1+x.
-2-2x=\left(x-1\right)\times 15
Subtract 2 from 17 to get 15.
-2-2x=15x-15
Use the distributive property to multiply x-1 by 15.
-2-2x-15x=-15
Subtract 15x from both sides.
-2-17x=-15
Combine -2x and -15x to get -17x.
-17x=-15+2
Add 2 to both sides.
-17x=-13
Add -15 and 2 to get -13.
x=\frac{-13}{-17}
Divide both sides by -17.
x=\frac{13}{17}
Fraction \frac{-13}{-17} can be simplified to \frac{13}{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}