Solve for x
x=5
Graph
Share
Copied to clipboard
\left(4x+19\right)\times 5=\left(2x+3\right)\times 15
Variable x cannot be equal to any of the values -\frac{19}{4},-\frac{3}{2} since division by zero is not defined. Multiply both sides of the equation by \left(2x+3\right)\left(4x+19\right), the least common multiple of 2x+3,4x+19.
20x+95=\left(2x+3\right)\times 15
Use the distributive property to multiply 4x+19 by 5.
20x+95=30x+45
Use the distributive property to multiply 2x+3 by 15.
20x+95-30x=45
Subtract 30x from both sides.
-10x+95=45
Combine 20x and -30x to get -10x.
-10x=45-95
Subtract 95 from both sides.
-10x=-50
Subtract 95 from 45 to get -50.
x=\frac{-50}{-10}
Divide both sides by -10.
x=5
Divide -50 by -10 to get 5.
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}