Solve for x
x=-1
Graph
Share
Copied to clipboard
-x-\left(-2\right)=3\left(2x+3\right)
To find the opposite of x-2, find the opposite of each term.
-x+2=3\left(2x+3\right)
The opposite of -2 is 2.
-x+2=6x+9
Use the distributive property to multiply 3 by 2x+3.
-x+2-6x=9
Subtract 6x from both sides.
-7x+2=9
Combine -x and -6x to get -7x.
-7x=9-2
Subtract 2 from both sides.
-7x=7
Subtract 2 from 9 to get 7.
x=\frac{7}{-7}
Divide both sides by -7.
x=-1
Divide 7 by -7 to get -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}