Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

2*x-(3*x+5) == 10+5*(x-1)

⇒ algebra.equations.linear.balance.distribute

2*x-3*x-5 == 10+5*x-5

⇒ algebra.equations.linear.balance.collect

-x-5 == 5+5*x

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

-5 == 5+6*x

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

-10 == 6*x

⇒ algebra.equations.linear.balance.scale-to-one, factor=6

-5/3 == x

⇒ algebra.equations.linear.flip

x == -5/3