Solve for x
x = \frac{5}{2} = 2\frac{1}{2} = 2.5
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2x+2x+20=x\times 12
Variable x cannot be equal to any of the values -10,0 since division by zero is not defined. Multiply both sides of the equation by 2x\left(x+10\right), the least common multiple of x+10,x,x+20+x.
4x+20=x\times 12
Combine 2x and 2x to get 4x.
4x+20-x\times 12=0
Subtract x\times 12 from both sides.
-8x+20=0
Combine 4x and -x\times 12 to get -8x.
-8x=-20
Subtract 20 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-20}{-8}
Divide both sides by -8.
x=\frac{5}{2}
Reduce the fraction \frac{-20}{-8} to lowest terms by extracting and canceling out -4.
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}