Solve for x
x=-3
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6\left(x+3\right)-\left(3x-2\right)=-3x-2\left(5+2x\right)
Multiply both sides of the equation by 12, the least common multiple of 2,12,4,6.
6x+18-\left(3x-2\right)=-3x-2\left(5+2x\right)
Use the distributive property to multiply 6 by x+3.
6x+18-3x-\left(-2\right)=-3x-2\left(5+2x\right)
To find the opposite of 3x-2, find the opposite of each term.
6x+18-3x+2=-3x-2\left(5+2x\right)
The opposite of -2 is 2.
3x+18+2=-3x-2\left(5+2x\right)
Combine 6x and -3x to get 3x.
3x+20=-3x-2\left(5+2x\right)
Add 18 and 2 to get 20.
3x+20=-3x-10-4x
Use the distributive property to multiply -2 by 5+2x.
3x+20=-7x-10
Combine -3x and -4x to get -7x.
3x+20+7x=-10
Add 7x to both sides.
10x+20=-10
Combine 3x and 7x to get 10x.
10x=-10-20
Subtract 20 from both sides.
10x=-30
Subtract 20 from -10 to get -30.
x=\frac{-30}{10}
Divide both sides by 10.
x=-3
Divide -30 by 10 to get -3.
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}