Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

1/2*x-4 == 2*x+2[1/2]

⇒ algebra.equations.linear.balance.remove-div, factor=2

x-8 == 4*x+5

⇒ algebra.equations.linear.balance.var-right-minus, term=x

-8 == 3*x+5

⇒ algebra.equations.linear.balance.con-left-minus, term=5

-13 == 3*x

⇒ algebra.equations.linear.balance.scale-to-one, factor=3

-13/3 == x

⇒ algebra.equations.linear.flip

x == -13/3