Solve for x
x=-1
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1+\left(x+2\right)\times 5=6\left(x+2\right)
Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by x+2.
1+5x+10=6\left(x+2\right)
Use the distributive property to multiply x+2 by 5.
11+5x=6\left(x+2\right)
Add 1 and 10 to get 11.
11+5x=6x+12
Use the distributive property to multiply 6 by x+2.
11+5x-6x=12
Subtract 6x from both sides.
11-x=12
Combine 5x and -6x to get -x.
-x=12-11
Subtract 11 from both sides.
-x=1
Subtract 11 from 12 to get 1.
x=-1
Multiply both sides by -1.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}