Solve for x
x=8
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\frac{80}{100}=\frac{24-x}{28-x}
Divide both sides by 100.
\frac{4}{5}=\frac{24-x}{28-x}
Reduce the fraction \frac{80}{100} to lowest terms by extracting and canceling out 20.
4\left(x-28\right)=-5\left(24-x\right)
Variable x cannot be equal to 28 since division by zero is not defined. Multiply both sides of the equation by 5\left(x-28\right), the least common multiple of 5,28-x.
4x-112=-5\left(24-x\right)
Use the distributive property to multiply 4 by x-28.
4x-112=-120+5x
Use the distributive property to multiply -5 by 24-x.
4x-112-5x=-120
Subtract 5x from both sides.
-x-112=-120
Combine 4x and -5x to get -x.
-x=-120+112
Add 112 to both sides.
-x=-8
Add -120 and 112 to get -8.
x=8
Multiply both sides by -1.
Examples
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y = 3x + 4
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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}