Solve for x
x=5
Graph
Share
Copied to clipboard
8x=\left(x+20\right)\times 1.6
Variable x cannot be equal to -20 since division by zero is not defined. Multiply both sides of the equation by 8\left(x+20\right), the least common multiple of 20+x,8.
8x=1.6x+32
Use the distributive property to multiply x+20 by 1.6.
8x-1.6x=32
Subtract 1.6x from both sides.
6.4x=32
Combine 8x and -1.6x to get 6.4x.
x=\frac{32}{6.4}
Divide both sides by 6.4.
x=\frac{320}{64}
Expand \frac{32}{6.4} by multiplying both numerator and the denominator by 10.
x=5
Divide 320 by 64 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}