Solve for x
x = \frac{11}{2} = 5\frac{1}{2} = 5.5
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6\left(x+1\right)-2\left(3x-2\right)=2x-1
Multiply both sides of the equation by 18, the least common multiple of 3,9,18.
6x+6-2\left(3x-2\right)=2x-1
Use the distributive property to multiply 6 by x+1.
6x+6-6x+4=2x-1
Use the distributive property to multiply -2 by 3x-2.
6+4=2x-1
Combine 6x and -6x to get 0.
10=2x-1
Add 6 and 4 to get 10.
2x-1=10
Swap sides so that all variable terms are on the left hand side.
2x=10+1
Add 1 to both sides.
2x=11
Add 10 and 1 to get 11.
x=\frac{11}{2}
Divide both sides by 2.
Examples
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{ 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}