Solve for x
x=-5
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3x-12-4\left(x-3\right)=x+3-\left(x-2\right)
Use the distributive property to multiply 3 by x-4.
3x-12-4x+12=x+3-\left(x-2\right)
Use the distributive property to multiply -4 by x-3.
-x-12+12=x+3-\left(x-2\right)
Combine 3x and -4x to get -x.
-x=x+3-\left(x-2\right)
Add -12 and 12 to get 0.
-x=x+3-x-\left(-2\right)
To find the opposite of x-2, find the opposite of each term.
-x=x+3-x+2
The opposite of -2 is 2.
-x=3+2
Combine x and -x to get 0.
-x=5
Add 3 and 2 to get 5.
x=-5
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}