Solve for x
x=4
Graph
Share
Copied to clipboard
\left(-x+2\right)\left(-1\right)+2\left(x-2\right)\left(-2\right)=-2\times 3
Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by 2\left(x-2\right), the least common multiple of -2,2-x.
x-2+2\left(x-2\right)\left(-2\right)=-2\times 3
Use the distributive property to multiply -x+2 by -1.
x-2-4\left(x-2\right)=-2\times 3
Multiply 2 and -2 to get -4.
x-2-4x+8=-2\times 3
Use the distributive property to multiply -4 by x-2.
-3x-2+8=-2\times 3
Combine x and -4x to get -3x.
-3x+6=-2\times 3
Add -2 and 8 to get 6.
-3x+6=-6
Multiply -2 and 3 to get -6.
-3x=-6-6
Subtract 6 from both sides.
-3x=-12
Subtract 6 from -6 to get -12.
x=\frac{-12}{-3}
Divide both sides by -3.
x=4
Divide -12 by -3 to get 4.
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}