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4+x=6z
Multiply both sides of the equation by 3z.
x=6z-4
Subtract 4 from both sides.
4+x=6z
Variable z cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3z.
6z=4+x
Swap sides so that all variable terms are on the left hand side.
6z=x+4
The equation is in standard form.
\frac{6z}{6}=\frac{x+4}{6}
Divide both sides by 6.
z=\frac{x+4}{6}
Dividing by 6 undoes the multiplication by 6.
z=\frac{x}{6}+\frac{2}{3}
Divide 4+x by 6.
z=\frac{x}{6}+\frac{2}{3}\text{, }z\neq 0
Variable z cannot be equal to 0.