Solve for x
x=5
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\frac{4x+24-6x}{15x+39}=\frac{14}{114}
Divide both sides by 114.
\frac{4x+24-6x}{15x+39}=\frac{7}{57}
Reduce the fraction \frac{14}{114} to lowest terms by extracting and canceling out 2.
19\left(4x+24-6x\right)=7\left(5x+13\right)
Variable x cannot be equal to -\frac{13}{5} since division by zero is not defined. Multiply both sides of the equation by 57\left(5x+13\right), the least common multiple of 15x+39,57.
19\left(-2x+24\right)=7\left(5x+13\right)
Combine 4x and -6x to get -2x.
-38x+456=7\left(5x+13\right)
Use the distributive property to multiply 19 by -2x+24.
-38x+456=35x+91
Use the distributive property to multiply 7 by 5x+13.
-38x+456-35x=91
Subtract 35x from both sides.
-73x+456=91
Combine -38x and -35x to get -73x.
-73x=91-456
Subtract 456 from both sides.
-73x=-365
Subtract 456 from 91 to get -365.
x=\frac{-365}{-73}
Divide both sides by -73.
x=5
Divide -365 by -73 to get 5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}