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.var-right-plus, term=6*x

63 == 36+8*x

⇒ algebra.equations.linear.balance.con-left-minus, term=36

27 == 8*x

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

27/8 == x

⇒ algebra.equations.linear.flip

x == 27/8