Solve for R
R=18-\frac{3}{x}
x\neq 0
Solve for x
x=-\frac{3}{R-18}
R\neq 18
Graph
Share
Copied to clipboard
Rx+3=18x
Multiply both sides of the equation by 3.
Rx=18x-3
Subtract 3 from both sides.
xR=18x-3
The equation is in standard form.
\frac{xR}{x}=\frac{18x-3}{x}
Divide both sides by x.
R=\frac{18x-3}{x}
Dividing by x undoes the multiplication by x.
R=18-\frac{3}{x}
Divide 18x-3 by x.
Rx+3=18x
Multiply both sides of the equation by 3.
Rx+3-18x=0
Subtract 18x from both sides.
Rx-18x=-3
Subtract 3 from both sides. Anything subtracted from zero gives its negation.
\left(R-18\right)x=-3
Combine all terms containing x.
\frac{\left(R-18\right)x}{R-18}=-\frac{3}{R-18}
Divide both sides by R-18.
x=-\frac{3}{R-18}
Dividing by R-18 undoes the multiplication by R-18.
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}