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2-b+a\times 2=0
Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by a.
-b+a\times 2=-2
Subtract 2 from both sides. Anything subtracted from zero gives its negation.
a\times 2=-2+b
Add b to both sides.
2a=b-2
The equation is in standard form.
\frac{2a}{2}=\frac{b-2}{2}
Divide both sides by 2.
a=\frac{b-2}{2}
Dividing by 2 undoes the multiplication by 2.
a=\frac{b}{2}-1
Divide b-2 by 2.
a=\frac{b}{2}-1\text{, }a\neq 0
Variable a cannot be equal to 0.
2-b+a\times 2=0
Multiply both sides of the equation by a.
-b+a\times 2=-2
Subtract 2 from both sides. Anything subtracted from zero gives its negation.
-b=-2-a\times 2
Subtract a\times 2 from both sides.
-b=-2-2a
Multiply -1 and 2 to get -2.
-b=-2a-2
The equation is in standard form.
\frac{-b}{-1}=\frac{-2a-2}{-1}
Divide both sides by -1.
b=\frac{-2a-2}{-1}
Dividing by -1 undoes the multiplication by -1.
b=2a+2
Divide -2-2a by -1.