Solve for x
x=5
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5x-2x-6=8-\left(x-6\right)
Use the distributive property to multiply -2 by x+3.
3x-6=8-\left(x-6\right)
Combine 5x and -2x to get 3x.
3x-6=8-x-\left(-6\right)
To find the opposite of x-6, find the opposite of each term.
3x-6=8-x+6
The opposite of -6 is 6.
3x-6=14-x
Add 8 and 6 to get 14.
3x-6+x=14
Add x to both sides.
4x-6=14
Combine 3x and x to get 4x.
4x=14+6
Add 6 to both sides.
4x=20
Add 14 and 6 to get 20.
x=\frac{20}{4}
Divide both sides by 4.
x=5
Divide 20 by 4 to get 5.
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
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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}