Solve for x
x=2
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3\left(x+1\right)-2\left(9-2x\right)=6-\left(5+x\right)
Multiply both sides of the equation by 6, the least common multiple of 2,3,6.
3x+3-2\left(9-2x\right)=6-\left(5+x\right)
Use the distributive property to multiply 3 by x+1.
3x+3-18+4x=6-\left(5+x\right)
Use the distributive property to multiply -2 by 9-2x.
3x-15+4x=6-\left(5+x\right)
Subtract 18 from 3 to get -15.
7x-15=6-\left(5+x\right)
Combine 3x and 4x to get 7x.
7x-15=6-5-x
To find the opposite of 5+x, find the opposite of each term.
7x-15=1-x
Subtract 5 from 6 to get 1.
7x-15+x=1
Add x to both sides.
8x-15=1
Combine 7x and x to get 8x.
8x=1+15
Add 15 to both sides.
8x=16
Add 1 and 15 to get 16.
x=\frac{16}{8}
Divide both sides by 8.
x=2
Divide 16 by 8 to get 2.
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}