Solve for x
x=5
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4x-20+2\left(x-1\right)-x=7-2\left(x-3\right)
Use the distributive property to multiply 4 by x-5.
4x-20+2x-2-x=7-2\left(x-3\right)
Use the distributive property to multiply 2 by x-1.
6x-20-2-x=7-2\left(x-3\right)
Combine 4x and 2x to get 6x.
6x-22-x=7-2\left(x-3\right)
Subtract 2 from -20 to get -22.
5x-22=7-2\left(x-3\right)
Combine 6x and -x to get 5x.
5x-22=7-2x+6
Use the distributive property to multiply -2 by x-3.
5x-22=13-2x
Add 7 and 6 to get 13.
5x-22+2x=13
Add 2x to both sides.
7x-22=13
Combine 5x and 2x to get 7x.
7x=13+22
Add 22 to both sides.
7x=35
Add 13 and 22 to get 35.
x=\frac{35}{7}
Divide both sides by 7.
x=5
Divide 35 by 7 to get 5.
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}