Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

2*x+1/2 == 1/4*x-3/4

⇒ algebra.equations.linear.balance.remove-div, factor=4

8*x+2 == x-3

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

7*x+2 == -3

⇒ algebra.equations.linear.balance.con-right-minus, term=2

7*x == -5

⇒ algebra.equations.linear.balance.scale-to-one, factor=7

x == -5/7