Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

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

⇒ algebra.equations.linear.flip

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

⇒ algebra.equations.linear.balance.distribute

5*x+15-x == 3

⇒ algebra.equations.linear.balance.collect

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