Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

-4*x+(3*x-6)/2 == (5*x-1)/6-2

⇒ algebra.equations.linear.balance.remove-div, factor=6

-24*x+3*(3*x-6) == 5*x-13

⇒ algebra.equations.linear.balance.distribute

-24*x+9*x-18 == 5*x-13

⇒ algebra.equations.linear.balance.collect

-15*x-18 == 5*x-13

⇒ algebra.equations.linear.balance.var-right-plus, term=15*x

-18 == 20*x-13

⇒ algebra.equations.linear.balance.con-left-plus, term=13

-5 == 20*x

⇒ algebra.equations.linear.balance.scale-to-one, factor=20

-1/4 == x

⇒ algebra.equations.linear.flip

x == -1/4