Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

-1/2*x+1[1/2] == 2*x-5

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

-x+3 == 4*x-10

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

3 == 5*x-10

⇒ algebra.equations.linear.balance.con-left-plus, term=10

13 == 5*x

⇒ algebra.equations.linear.balance.scale-to-one, factor=5

13/5 == x

⇒ algebra.equations.linear.flip

x == 13/5