Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

-5/4*x+47/4 == 3/4*x

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

-5*x+47 == 3*x

⇒ algebra.equations.linear.balance.var-right-plus, term=5*x

47 == 8*x

⇒ algebra.equations.linear.balance.scale-to-one, factor=8

47/8 == x

⇒ algebra.equations.linear.flip

x == 47/8