Solve for x
x=6
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\left(2x-1\right)\times 3-\left(2x+1\right)\times 2=x+1
Variable x cannot be equal to any of the values -\frac{1}{2},\frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by \left(2x-1\right)\left(2x+1\right), the least common multiple of 2x+1,2x-1,4x^{2}-1.
6x-3-\left(2x+1\right)\times 2=x+1
Use the distributive property to multiply 2x-1 by 3.
6x-3-\left(4x+2\right)=x+1
Use the distributive property to multiply 2x+1 by 2.
6x-3-4x-2=x+1
To find the opposite of 4x+2, find the opposite of each term.
2x-3-2=x+1
Combine 6x and -4x to get 2x.
2x-5=x+1
Subtract 2 from -3 to get -5.
2x-5-x=1
Subtract x from both sides.
x-5=1
Combine 2x and -x to get x.
x=1+5
Add 5 to both sides.
x=6
Add 1 and 5 to get 6.
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}