Solve for x
x = \frac{14}{3} = 4\frac{2}{3} \approx 4.666666667
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2\left(x+2\right)-\left(2-x\right)=6x-12
Multiply both sides of the equation by 6, the least common multiple of 3,6.
2x+4-\left(2-x\right)=6x-12
Use the distributive property to multiply 2 by x+2.
2x+4-2-\left(-x\right)=6x-12
To find the opposite of 2-x, find the opposite of each term.
2x+4-2+x=6x-12
The opposite of -x is x.
2x+2+x=6x-12
Subtract 2 from 4 to get 2.
3x+2=6x-12
Combine 2x and x to get 3x.
3x+2-6x=-12
Subtract 6x from both sides.
-3x+2=-12
Combine 3x and -6x to get -3x.
-3x=-12-2
Subtract 2 from both sides.
-3x=-14
Subtract 2 from -12 to get -14.
x=\frac{-14}{-3}
Divide both sides by -3.
x=\frac{14}{3}
Fraction \frac{-14}{-3} can be simplified to \frac{14}{3} by removing the negative sign from both the numerator and the denominator.
Examples
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y = 3x + 4
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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
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Limits
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