Solve for x
x = \frac{85}{6} = 14\frac{1}{6} \approx 14.166666667
Graph
Share
Copied to clipboard
4\times 25=3\left(2x+5\right)
Variable x cannot be equal to -\frac{5}{2} since division by zero is not defined. Multiply both sides of the equation by 4\left(2x+5\right), the least common multiple of 2x+5,4.
100=3\left(2x+5\right)
Multiply 4 and 25 to get 100.
100=6x+15
Use the distributive property to multiply 3 by 2x+5.
6x+15=100
Swap sides so that all variable terms are on the left hand side.
6x=100-15
Subtract 15 from both sides.
6x=85
Subtract 15 from 100 to get 85.
x=\frac{85}{6}
Divide both sides by 6.
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}