Solve for h
h=3+\frac{5}{x}
x\neq 0
Solve for x
x=\frac{5}{h-3}
h\neq 3
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xh=3x+5
The equation is in standard form.
\frac{xh}{x}=\frac{3x+5}{x}
Divide both sides by x.
h=\frac{3x+5}{x}
Dividing by x undoes the multiplication by x.
h=3+\frac{5}{x}
Divide 3x+5 by x.
hx-3x=5
Subtract 3x from both sides.
\left(h-3\right)x=5
Combine all terms containing x.
\frac{\left(h-3\right)x}{h-3}=\frac{5}{h-3}
Divide both sides by h-3.
x=\frac{5}{h-3}
Dividing by h-3 undoes the multiplication by h-3.
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