Solve for x
x=-2
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-3x-2=2\left(x+4\right)
To find the opposite of 3x+2, find the opposite of each term.
-3x-2=2x+8
Use the distributive property to multiply 2 by x+4.
-3x-2-2x=8
Subtract 2x from both sides.
-5x-2=8
Combine -3x and -2x to get -5x.
-5x=8+2
Add 2 to both sides.
-5x=10
Add 8 and 2 to get 10.
x=\frac{10}{-5}
Divide both sides by -5.
x=-2
Divide 10 by -5 to get -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
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}