Solve for x
x=-18
Graph
Share
Copied to clipboard
x+\left(x-3\right)\times 2=\left(x+3\right)\times 4
Variable x cannot be equal to any of the values -3,3 since division by zero is not defined. Multiply both sides of the equation by \left(x-3\right)\left(x+3\right), the least common multiple of x^{2}-9,x+3,x-3.
x+2x-6=\left(x+3\right)\times 4
Use the distributive property to multiply x-3 by 2.
3x-6=\left(x+3\right)\times 4
Combine x and 2x to get 3x.
3x-6=4x+12
Use the distributive property to multiply x+3 by 4.
3x-6-4x=12
Subtract 4x from both sides.
-x-6=12
Combine 3x and -4x to get -x.
-x=12+6
Add 6 to both sides.
-x=18
Add 12 and 6 to get 18.
x=-18
Multiply both sides by -1.
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}