Solve for a
a=5-\frac{160}{x}
x\neq 0
Solve for x
x=\frac{160}{5-a}
a\neq 5
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x=\frac{ax}{5}+32
Express \frac{a}{5}x as a single fraction.
\frac{ax}{5}+32=x
Swap sides so that all variable terms are on the left hand side.
\frac{ax}{5}=x-32
Subtract 32 from both sides.
ax=5x-160
Multiply both sides of the equation by 5.
xa=5x-160
The equation is in standard form.
\frac{xa}{x}=\frac{5x-160}{x}
Divide both sides by x.
a=\frac{5x-160}{x}
Dividing by x undoes the multiplication by x.
a=5-\frac{160}{x}
Divide -160+5x by x.
x=\frac{ax}{5}+32
Express \frac{a}{5}x as a single fraction.
x-\frac{ax}{5}=32
Subtract \frac{ax}{5} from both sides.
5x-ax=160
Multiply both sides of the equation by 5.
-ax+5x=160
Reorder the terms.
\left(-a+5\right)x=160
Combine all terms containing x.
\left(5-a\right)x=160
The equation is in standard form.
\frac{\left(5-a\right)x}{5-a}=\frac{160}{5-a}
Divide both sides by -a+5.
x=\frac{160}{5-a}
Dividing by -a+5 undoes the multiplication by -a+5.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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Matrix
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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}