Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

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

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

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

⇒ algebra.equations.linear.balance.distribute

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

⇒ algebra.equations.linear.balance.collect

27-6*x == 2*x

⇒ algebra.equations.linear.balance.var-right-plus, term=6*x

27 == 8*x

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

27/8 == x

⇒ algebra.equations.linear.flip

x == 27/8