Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

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

⇒ algebra.equations.linear.balance.distribute

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

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

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

⇒ algebra.equations.linear.balance.var-left-minus, term=3*x

32*x-70 == 10

⇒ algebra.equations.linear.balance.con-right-plus, term=70

32*x == 80

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

x == 5/2