Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

-5*(x+1) == 9*(x+4)-5

⇒ algebra.equations.linear.balance.distribute

-5*x-5 == 9*x+31

⇒ algebra.equations.linear.balance.var-right-plus, term=5*x

-5 == 14*x+31

⇒ algebra.equations.linear.balance.con-left-minus, term=31

-36 == 14*x

⇒ algebra.equations.linear.balance.scale-to-one, factor=14

-18/7 == x

⇒ algebra.equations.linear.flip

x == -18/7