Solve for x
x=\frac{1}{4}=0.25
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2\left(x+1\right)-2\left(3x-1\right)=2\left(2x+1\right)
Multiply both sides of the equation by 4, the least common multiple of 2,4.
2x+2-2\left(3x-1\right)=2\left(2x+1\right)
Use the distributive property to multiply 2 by x+1.
2x+2-6x+2=2\left(2x+1\right)
Use the distributive property to multiply -2 by 3x-1.
-4x+2+2=2\left(2x+1\right)
Combine 2x and -6x to get -4x.
-4x+4=2\left(2x+1\right)
Add 2 and 2 to get 4.
-4x+4=4x+2
Use the distributive property to multiply 2 by 2x+1.
-4x+4-4x=2
Subtract 4x from both sides.
-8x+4=2
Combine -4x and -4x to get -8x.
-8x=2-4
Subtract 4 from both sides.
-8x=-2
Subtract 4 from 2 to get -2.
x=\frac{-2}{-8}
Divide both sides by -8.
x=\frac{1}{4}
Reduce the fraction \frac{-2}{-8} to lowest terms by extracting and canceling out -2.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
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}