Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

1/4*x+1/2 == 5/2*x+2

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

x+2 == 10*x+8

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

2 == 9*x+8

⇒ algebra.equations.linear.balance.con-left-minus, term=8

-6 == 9*x

⇒ algebra.equations.linear.balance.scale-to-one, factor=9

-2/3 == x

⇒ algebra.equations.linear.flip

x == -2/3