Exercise algebra.equations.linear.balance
Description
Solve a linear equation using only balance rules.
Derivation
![](http://ideas.cs.uu.nl/images/external.png)
1/4*x-3/4 == 2*x+1/2
⇒ algebra.equations.linear.balance.remove-div, factor=4x-3 == 8*x+2
⇒ algebra.equations.linear.balance.var-right-minus, term=x-3 == 7*x+2
⇒ algebra.equations.linear.balance.con-left-minus, term=2-5 == 7*x
⇒ algebra.equations.linear.balance.scale-to-one, factor=7-5/7 == x
⇒ algebra.equations.linear.flipx == -5/7