Solve for m
m=\frac{2-x}{3}
Solve for x
x=2-3m
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2x-3m=3x-2
Multiply both sides of the equation by 2.
-3m=3x-2-2x
Subtract 2x from both sides.
-3m=x-2
Combine 3x and -2x to get x.
\frac{-3m}{-3}=\frac{x-2}{-3}
Divide both sides by -3.
m=\frac{x-2}{-3}
Dividing by -3 undoes the multiplication by -3.
m=\frac{2-x}{3}
Divide x-2 by -3.
2x-3m=3x-2
Multiply both sides of the equation by 2.
2x-3m-3x=-2
Subtract 3x from both sides.
-x-3m=-2
Combine 2x and -3x to get -x.
-x=-2+3m
Add 3m to both sides.
-x=3m-2
The equation is in standard form.
\frac{-x}{-1}=\frac{3m-2}{-1}
Divide both sides by -1.
x=\frac{3m-2}{-1}
Dividing by -1 undoes the multiplication by -1.
x=2-3m
Divide -2+3m by -1.
Examples
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Linear equation
y = 3x + 4
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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
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