Solve for x
x=-\frac{6}{11}\approx -0.545454545
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2\times 3+2x\times 5=-x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x, the least common multiple of x,2.
6+2x\times 5=-x
Multiply 2 and 3 to get 6.
6+10x=-x
Multiply 2 and 5 to get 10.
6+10x+x=0
Add x to both sides.
6+11x=0
Combine 10x and x to get 11x.
11x=-6
Subtract 6 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-6}{11}
Divide both sides by 11.
x=-\frac{6}{11}
Fraction \frac{-6}{11} can be rewritten as -\frac{6}{11} by extracting the negative sign.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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}