Solve for x
x=\frac{1}{2}=0.5
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3x-5x-\left(-12\right)=8x-\left(4x-9\right)
To find the opposite of 5x-12, find the opposite of each term.
3x-5x+12=8x-\left(4x-9\right)
The opposite of -12 is 12.
-2x+12=8x-\left(4x-9\right)
Combine 3x and -5x to get -2x.
-2x+12=8x-4x-\left(-9\right)
To find the opposite of 4x-9, find the opposite of each term.
-2x+12=8x-4x+9
The opposite of -9 is 9.
-2x+12=4x+9
Combine 8x and -4x to get 4x.
-2x+12-4x=9
Subtract 4x from both sides.
-6x+12=9
Combine -2x and -4x to get -6x.
-6x=9-12
Subtract 12 from both sides.
-6x=-3
Subtract 12 from 9 to get -3.
x=\frac{-3}{-6}
Divide both sides by -6.
x=\frac{1}{2}
Reduce the fraction \frac{-3}{-6} to lowest terms by extracting and canceling out -3.
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}