Solve for x
x=1
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5\left(x-2\right)+2\left(x+1\right)=-x
Multiply both sides of the equation by 10, the least common multiple of 2,5,10.
5x-10+2\left(x+1\right)=-x
Use the distributive property to multiply 5 by x-2.
5x-10+2x+2=-x
Use the distributive property to multiply 2 by x+1.
7x-10+2=-x
Combine 5x and 2x to get 7x.
7x-8=-x
Add -10 and 2 to get -8.
7x-8+x=0
Add x to both sides.
8x-8=0
Combine 7x and x to get 8x.
8x=8
Add 8 to both sides. Anything plus zero gives itself.
x=\frac{8}{8}
Divide both sides by 8.
x=1
Divide 8 by 8 to get 1.
Examples
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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
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