Solve for x
x=\frac{12x_{11}}{25}-\frac{1}{5}
Solve for x_11
x_{11}=\frac{25x+5}{12}
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5\left(5x+1\right)=4\times 3x_{11}
Multiply both sides of the equation by 20, the least common multiple of 4,5.
25x+5=4\times 3x_{11}
Use the distributive property to multiply 5 by 5x+1.
25x+5=12x_{11}
Multiply 4 and 3 to get 12.
25x=12x_{11}-5
Subtract 5 from both sides.
\frac{25x}{25}=\frac{12x_{11}-5}{25}
Divide both sides by 25.
x=\frac{12x_{11}-5}{25}
Dividing by 25 undoes the multiplication by 25.
x=\frac{12x_{11}}{25}-\frac{1}{5}
Divide 12x_{11}-5 by 25.
5\left(5x+1\right)=4\times 3x_{11}
Multiply both sides of the equation by 20, the least common multiple of 4,5.
25x+5=4\times 3x_{11}
Use the distributive property to multiply 5 by 5x+1.
25x+5=12x_{11}
Multiply 4 and 3 to get 12.
12x_{11}=25x+5
Swap sides so that all variable terms are on the left hand side.
\frac{12x_{11}}{12}=\frac{25x+5}{12}
Divide both sides by 12.
x_{11}=\frac{25x+5}{12}
Dividing by 12 undoes the multiplication by 12.
Examples
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{ 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}