Solve for x
x=0
Graph
Share
Copied to clipboard
4\left(2x-5\right)-10x+40=20x+5\left(x+4\right)
Multiply both sides of the equation by 20, the least common multiple of 5,2,4.
8x-20-10x+40=20x+5\left(x+4\right)
Use the distributive property to multiply 4 by 2x-5.
-2x-20+40=20x+5\left(x+4\right)
Combine 8x and -10x to get -2x.
-2x+20=20x+5\left(x+4\right)
Add -20 and 40 to get 20.
-2x+20=20x+5x+20
Use the distributive property to multiply 5 by x+4.
-2x+20=25x+20
Combine 20x and 5x to get 25x.
-2x+20-25x=20
Subtract 25x from both sides.
-27x+20=20
Combine -2x and -25x to get -27x.
-27x=20-20
Subtract 20 from both sides.
-27x=0
Subtract 20 from 20 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -27 is not equal to 0, x must be equal to 0.
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}