Solve for x
x=1
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2\left(x-1\right)=6-\left(x+5\right)
Multiply both sides of the equation by 6, the least common multiple of 3,6.
2x-2=6-\left(x+5\right)
Use the distributive property to multiply 2 by x-1.
2x-2=6-x-5
To find the opposite of x+5, find the opposite of each term.
2x-2=1-x
Subtract 5 from 6 to get 1.
2x-2+x=1
Add x to both sides.
3x-2=1
Combine 2x and x to get 3x.
3x=1+2
Add 2 to both sides.
3x=3
Add 1 and 2 to get 3.
x=\frac{3}{3}
Divide both sides by 3.
x=1
Divide 3 by 3 to get 1.
Examples
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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Matrix
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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}