Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

5*(1/2*x+3/2) == (x+3)/2

⇒ algebra.equations.linear.balance.remove-div, factor=2

10*(1/2*x+3/2) == x+3

⇒ algebra.equations.linear.balance.distribute

5*x+15 == x+3

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

4*x+15 == 3

⇒ algebra.equations.linear.balance.con-right-minus, term=15

4*x == -12

⇒ algebra.equations.linear.balance.scale-to-one, factor=4

x == -3