Solve for x
x=4
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30-6\times 2x+3\left(2+x\right)=2\left(x-4\right)
Multiply both sides of the equation by 30, the least common multiple of 5,10,15.
30-12x+3\left(2+x\right)=2\left(x-4\right)
Multiply -6 and 2 to get -12.
30-12x+6+3x=2\left(x-4\right)
Use the distributive property to multiply 3 by 2+x.
36-12x+3x=2\left(x-4\right)
Add 30 and 6 to get 36.
36-9x=2\left(x-4\right)
Combine -12x and 3x to get -9x.
36-9x=2x-8
Use the distributive property to multiply 2 by x-4.
36-9x-2x=-8
Subtract 2x from both sides.
36-11x=-8
Combine -9x and -2x to get -11x.
-11x=-8-36
Subtract 36 from both sides.
-11x=-44
Subtract 36 from -8 to get -44.
x=\frac{-44}{-11}
Divide both sides by -11.
x=4
Divide -44 by -11 to get 4.
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
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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}