Solve for x
x=-8
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2x-6-3\left(x-2\right)=x+2-\left(x-6\right)
Use the distributive property to multiply 2 by x-3.
2x-6-3x+6=x+2-\left(x-6\right)
Use the distributive property to multiply -3 by x-2.
-x-6+6=x+2-\left(x-6\right)
Combine 2x and -3x to get -x.
-x=x+2-\left(x-6\right)
Add -6 and 6 to get 0.
-x=x+2-x-\left(-6\right)
To find the opposite of x-6, find the opposite of each term.
-x=x+2-x+6
The opposite of -6 is 6.
-x=2+6
Combine x and -x to get 0.
-x=8
Add 2 and 6 to get 8.
x=-8
Multiply both sides by -1.
Examples
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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
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