Solve for x
x=-2
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5\left(x-5\right)-2\times 2\left(x-5\right)=2\left(x-2\right)+1
Multiply both sides of the equation by 10, the least common multiple of 2,5,10.
5x-25-2\times 2\left(x-5\right)=2\left(x-2\right)+1
Use the distributive property to multiply 5 by x-5.
5x-25-4\left(x-5\right)=2\left(x-2\right)+1
Multiply -2 and 2 to get -4.
5x-25-4x+20=2\left(x-2\right)+1
Use the distributive property to multiply -4 by x-5.
x-25+20=2\left(x-2\right)+1
Combine 5x and -4x to get x.
x-5=2\left(x-2\right)+1
Add -25 and 20 to get -5.
x-5=2x-4+1
Use the distributive property to multiply 2 by x-2.
x-5=2x-3
Add -4 and 1 to get -3.
x-5-2x=-3
Subtract 2x from both sides.
-x-5=-3
Combine x and -2x to get -x.
-x=-3+5
Add 5 to both sides.
-x=2
Add -3 and 5 to get 2.
x=-2
Multiply both sides by -1.
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}