Solve for a
a=\frac{2}{x}
x\neq 0
Solve for x
x=\frac{2}{a}
a\neq 0
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3ax-2x=2\left(3-x\right)
Use the distributive property to multiply 3a-2 by x.
3ax-2x=6-2x
Use the distributive property to multiply 2 by 3-x.
3ax=6-2x+2x
Add 2x to both sides.
3ax=6
Combine -2x and 2x to get 0.
3xa=6
The equation is in standard form.
\frac{3xa}{3x}=\frac{6}{3x}
Divide both sides by 3x.
a=\frac{6}{3x}
Dividing by 3x undoes the multiplication by 3x.
a=\frac{2}{x}
Divide 6 by 3x.
3ax-2x=2\left(3-x\right)
Use the distributive property to multiply 3a-2 by x.
3ax-2x=6-2x
Use the distributive property to multiply 2 by 3-x.
3ax-2x+2x=6
Add 2x to both sides.
3ax=6
Combine -2x and 2x to get 0.
\frac{3ax}{3a}=\frac{6}{3a}
Divide both sides by 3a.
x=\frac{6}{3a}
Dividing by 3a undoes the multiplication by 3a.
x=\frac{2}{a}
Divide 6 by 3a.
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