Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

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

⇒ algebra.equations.linear.balance.distribute

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

⇒ algebra.equations.linear.balance.collect

5+5*x == -x-5

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

5+6*x == -5

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

6*x == -10

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

x == -5/3