Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

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

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

-7*x+13 == 3*x

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

13 == 10*x

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

13/10 == x

⇒ algebra.equations.linear.flip

x == 13/10