Solve for x
x=12
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4x+12-2x=6-3\left(2-x\right)
Use the distributive property to multiply 4 by x+3.
2x+12=6-3\left(2-x\right)
Combine 4x and -2x to get 2x.
2x+12=6-6+3x
Use the distributive property to multiply -3 by 2-x.
2x+12=3x
Subtract 6 from 6 to get 0.
2x+12-3x=0
Subtract 3x from both sides.
-x+12=0
Combine 2x and -3x to get -x.
-x=-12
Subtract 12 from both sides. Anything subtracted from zero gives its negation.
x=12
Multiply both sides by -1.
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}