Solve for x
x=-\frac{15}{34}\approx -0.441176471
Graph
Share
Copied to clipboard
-3\left(3x+10\right)=5\left(5x-3\right)
Variable x cannot be equal to \frac{3}{5} since division by zero is not defined. Multiply both sides of the equation by 3\left(5x-3\right), the least common multiple of 3-5x,3.
-9x-30=5\left(5x-3\right)
Use the distributive property to multiply -3 by 3x+10.
-9x-30=25x-15
Use the distributive property to multiply 5 by 5x-3.
-9x-30-25x=-15
Subtract 25x from both sides.
-34x-30=-15
Combine -9x and -25x to get -34x.
-34x=-15+30
Add 30 to both sides.
-34x=15
Add -15 and 30 to get 15.
x=\frac{15}{-34}
Divide both sides by -34.
x=-\frac{15}{34}
Fraction \frac{15}{-34} can be rewritten as -\frac{15}{34} 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}