Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

3*(1/5*x-1)+5-7*x == -14

⇒ algebra.equations.linear.balance.distribute

3/5*x+2-7*x == -14

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

3*x+10-35*x == -70

⇒ algebra.equations.linear.balance.collect

-32*x+10 == -70

⇒ algebra.equations.linear.balance.con-right-minus, term=10

-32*x == -80

⇒ algebra.equations.linear.balance.scale-to-one, factor=-32

x == 5/2