Solve for x
x = -\frac{76}{25} = -3\frac{1}{25} = -3.04
Graph
Share
Copied to clipboard
9\left(5x+8\right)=4\left(5x-1\right)
Variable x cannot be equal to \frac{1}{5} since division by zero is not defined. Multiply both sides of the equation by 9\left(5x-1\right), the least common multiple of 5x-1,9.
45x+72=4\left(5x-1\right)
Use the distributive property to multiply 9 by 5x+8.
45x+72=20x-4
Use the distributive property to multiply 4 by 5x-1.
45x+72-20x=-4
Subtract 20x from both sides.
25x+72=-4
Combine 45x and -20x to get 25x.
25x=-4-72
Subtract 72 from both sides.
25x=-76
Subtract 72 from -4 to get -76.
x=\frac{-76}{25}
Divide both sides by 25.
x=-\frac{76}{25}
Fraction \frac{-76}{25} can be rewritten as -\frac{76}{25} by extracting the negative sign.
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}