Solve for x
x=2
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4\left(x-1\right)-\left(x+2\right)=6\left(x-2\right)
Multiply both sides of the equation by 12, the least common multiple of 3,12,2.
4x-4-\left(x+2\right)=6\left(x-2\right)
Use the distributive property to multiply 4 by x-1.
4x-4-x-2=6\left(x-2\right)
To find the opposite of x+2, find the opposite of each term.
3x-4-2=6\left(x-2\right)
Combine 4x and -x to get 3x.
3x-6=6\left(x-2\right)
Subtract 2 from -4 to get -6.
3x-6=6x-12
Use the distributive property to multiply 6 by x-2.
3x-6-6x=-12
Subtract 6x from both sides.
-3x-6=-12
Combine 3x and -6x to get -3x.
-3x=-12+6
Add 6 to both sides.
-3x=-6
Add -12 and 6 to get -6.
x=\frac{-6}{-3}
Divide both sides by -3.
x=2
Divide -6 by -3 to get 2.
Examples
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y = 3x + 4
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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}