Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

1/2*(7-2/3*x)-1/9*x == 2

⇒ algebra.equations.linear.balance.remove-div, factor=18

9*(7-2/3*x)-2*x == 36

⇒ algebra.equations.linear.balance.distribute

63-6*x-2*x == 36

⇒ algebra.equations.linear.balance.collect

63-8*x == 36

⇒ algebra.equations.linear.balance.con-right-minus, term=63

-8*x == -27

⇒ algebra.equations.linear.balance.scale-to-one, factor=-8

x == 27/8