Solve for x
x=\frac{5}{26}\approx 0.192307692
Graph
Share
Copied to clipboard
5+5x\times \frac{4}{5}=30x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5x, the least common multiple of x,5.
5+4x=30x
Cancel out 5 and 5.
5+4x-30x=0
Subtract 30x from both sides.
5-26x=0
Combine 4x and -30x to get -26x.
-26x=-5
Subtract 5 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-5}{-26}
Divide both sides by -26.
x=\frac{5}{26}
Fraction \frac{-5}{-26} can be simplified to \frac{5}{26} by removing the negative sign from both the numerator and the denominator.
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}