Solve for x
x=-2
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6x-3-2\left(x-1\right)=x-\left(5-x\right)
Use the distributive property to multiply 3 by 2x-1.
6x-3-2x+2=x-\left(5-x\right)
Use the distributive property to multiply -2 by x-1.
4x-3+2=x-\left(5-x\right)
Combine 6x and -2x to get 4x.
4x-1=x-\left(5-x\right)
Add -3 and 2 to get -1.
4x-1=x-5-\left(-x\right)
To find the opposite of 5-x, find the opposite of each term.
4x-1=x-5+x
The opposite of -x is x.
4x-1=2x-5
Combine x and x to get 2x.
4x-1-2x=-5
Subtract 2x from both sides.
2x-1=-5
Combine 4x and -2x to get 2x.
2x=-5+1
Add 1 to both sides.
2x=-4
Add -5 and 1 to get -4.
x=\frac{-4}{2}
Divide both sides by 2.
x=-2
Divide -4 by 2 to get -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}