Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

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

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

x-3 == 8*x+2

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

-3 == 7*x+2

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

-5 == 7*x

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

-5/7 == x

⇒ algebra.equations.linear.flip

x == -5/7