Solve for m
m=-\frac{5-2x}{x-3}
x\neq 3
Solve for x
x=-\frac{5-3m}{m-2}
m\neq 2
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mx-3x+5=3m-x
Use the distributive property to multiply m-3 by x.
mx-3x+5-3m=-x
Subtract 3m from both sides.
mx+5-3m=-x+3x
Add 3x to both sides.
mx+5-3m=2x
Combine -x and 3x to get 2x.
mx-3m=2x-5
Subtract 5 from both sides.
\left(x-3\right)m=2x-5
Combine all terms containing m.
\frac{\left(x-3\right)m}{x-3}=\frac{2x-5}{x-3}
Divide both sides by x-3.
m=\frac{2x-5}{x-3}
Dividing by x-3 undoes the multiplication by x-3.
mx-3x+5=3m-x
Use the distributive property to multiply m-3 by x.
mx-3x+5+x=3m
Add x to both sides.
mx-2x+5=3m
Combine -3x and x to get -2x.
mx-2x=3m-5
Subtract 5 from both sides.
\left(m-2\right)x=3m-5
Combine all terms containing x.
\frac{\left(m-2\right)x}{m-2}=\frac{3m-5}{m-2}
Divide both sides by m-2.
x=\frac{3m-5}{m-2}
Dividing by m-2 undoes the multiplication by m-2.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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Matrix
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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}