Solve for x
x=-5
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2\left(-x\right)+6x+3\left(-x\right)+7=-x-3
Use the distributive property to multiply 2 by -x+3x.
5\left(-x\right)+6x+7=-x-3
Combine 2\left(-x\right) and 3\left(-x\right) to get 5\left(-x\right).
5\left(-x\right)+6x+7+x=-3
Add x to both sides.
5\left(-x\right)+7x+7=-3
Combine 6x and x to get 7x.
5\left(-x\right)+7x=-3-7
Subtract 7 from both sides.
5\left(-x\right)+7x=-10
Subtract 7 from -3 to get -10.
-5x+7x=-10
Multiply 5 and -1 to get -5.
2x=-10
Combine -5x and 7x to get 2x.
x=\frac{-10}{2}
Divide both sides by 2.
x=-5
Divide -10 by 2 to get -5.
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}