Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

3/5*x == -7/5*x+13/5

⇒ algebra.equations.linear.balance.remove-div, factor=5

3*x == -7*x+13

⇒ algebra.equations.linear.balance.var-left-plus, term=7*x

10*x == 13

⇒ algebra.equations.linear.balance.scale-to-one, factor=10

x == 13/10