Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
5. Literal Equations and Formulas
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Exercise 36 Page 113

Apply inverse operations to isolate x.

x=2m-4/1+n

Practice makes perfect
To solve the given literal equation for x, we will use the Properties of Equality to apply inverse operations on the equation. Remember, only like terms can be combined.
2m-nx=x+4
2m-nx-4=x
2m-4=x+nx
2m-4=x* 1+x* n
2m-4=x(1+n)
2m-4/1+n=x(1+n)/(1+n)
2m-4/1+n=x(1+n)/(1+n)
2m-4/1+n=x
x=2m-4/1+n