Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

2*x+5/2 == 1/2*x-4

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

4*x+5 == x-8

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

3*x+5 == -8

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

3*x == -13

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

x == -13/3