Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

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

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

10*x+8 == x+2

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

9*x+8 == 2

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

9*x == -6

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

x == -2/3