Solve for a
a=\frac{b-2}{2}
b\neq 2
Solve for b
b=2\left(a+1\right)
a\neq 0
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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.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}