Solve for x
x = \frac{11}{5} = 2\frac{1}{5} = 2.2
Graph
Share
Copied to clipboard
x-1+\left(2x-2\right)\times 5=2x\times 3
Variable x cannot be equal to any of the values 0,1 since division by zero is not defined. Multiply both sides of the equation by 2x\left(x-1\right), the least common multiple of 2x,x,x-1.
x-1+10x-10=2x\times 3
Use the distributive property to multiply 2x-2 by 5.
11x-1-10=2x\times 3
Combine x and 10x to get 11x.
11x-11=2x\times 3
Subtract 10 from -1 to get -11.
11x-11=6x
Multiply 2 and 3 to get 6.
11x-11-6x=0
Subtract 6x from both sides.
5x-11=0
Combine 11x and -6x to get 5x.
5x=11
Add 11 to both sides. Anything plus zero gives itself.
x=\frac{11}{5}
Divide both sides by 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}