Solve for x
x=\frac{3}{8}=0.375
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18-6x-\left(4x+2\right)=2\left(3x-1\right)+12
Use the distributive property to multiply 3 by 6-2x.
18-6x-4x-2=2\left(3x-1\right)+12
To find the opposite of 4x+2, find the opposite of each term.
18-10x-2=2\left(3x-1\right)+12
Combine -6x and -4x to get -10x.
16-10x=2\left(3x-1\right)+12
Subtract 2 from 18 to get 16.
16-10x=6x-2+12
Use the distributive property to multiply 2 by 3x-1.
16-10x=6x+10
Add -2 and 12 to get 10.
16-10x-6x=10
Subtract 6x from both sides.
16-16x=10
Combine -10x and -6x to get -16x.
-16x=10-16
Subtract 16 from both sides.
-16x=-6
Subtract 16 from 10 to get -6.
x=\frac{-6}{-16}
Divide both sides by -16.
x=\frac{3}{8}
Reduce the fraction \frac{-6}{-16} to lowest terms by extracting and canceling out -2.
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}