Solve for x
x=\frac{4}{9}\approx 0.444444444
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4-\left(x+2\right)-2\left(x+3\right)+12x=0
Multiply both sides of the equation by 4, the least common multiple of 4,2.
4-x-2-2\left(x+3\right)+12x=0
To find the opposite of x+2, find the opposite of each term.
2-x-2\left(x+3\right)+12x=0
Subtract 2 from 4 to get 2.
2-x-2x-6+12x=0
Use the distributive property to multiply -2 by x+3.
2-3x-6+12x=0
Combine -x and -2x to get -3x.
-4-3x+12x=0
Subtract 6 from 2 to get -4.
-4+9x=0
Combine -3x and 12x to get 9x.
9x=4
Add 4 to both sides. Anything plus zero gives itself.
x=\frac{4}{9}
Divide both sides by 9.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}