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4b-6=5x
Swap sides so that all variable terms are on the left hand side.
4b=5x+6
Add 6 to both sides.
\frac{4b}{4}=\frac{5x+6}{4}
Divide both sides by 4.
b=\frac{5x+6}{4}
Dividing by 4 undoes the multiplication by 4.
b=\frac{5x}{4}+\frac{3}{2}
Divide 5x+6 by 4.
5x=4b-6
The equation is in standard form.
\frac{5x}{5}=\frac{4b-6}{5}
Divide both sides by 5.
x=\frac{4b-6}{5}
Dividing by 5 undoes the multiplication by 5.