Solve for x
x=4
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x-3-x-\left(-2\right)+2\left(x-1\right)-5=0
To find the opposite of x-2, find the opposite of each term.
x-3-x+2+2\left(x-1\right)-5=0
The opposite of -2 is 2.
-3+2+2\left(x-1\right)-5=0
Combine x and -x to get 0.
-1+2\left(x-1\right)-5=0
Add -3 and 2 to get -1.
-1+2x-2-5=0
Use the distributive property to multiply 2 by x-1.
-3+2x-5=0
Subtract 2 from -1 to get -3.
-8+2x=0
Subtract 5 from -3 to get -8.
2x=8
Add 8 to both sides. Anything plus zero gives itself.
x=\frac{8}{2}
Divide both sides by 2.
x=4
Divide 8 by 2 to get 4.
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}