Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

4*x-(x-2) == 12+5*(x-1)

⇒ algebra.equations.linear.balance.distribute

4*x-x+2 == 12+5*x-5

⇒ algebra.equations.linear.balance.collect

3*x+2 == 7+5*x

⇒ algebra.equations.linear.balance.var-right-minus, term=3*x

2 == 7+2*x

⇒ algebra.equations.linear.balance.con-left-minus, term=7

-5 == 2*x

⇒ algebra.equations.linear.balance.scale-to-one, factor=2

-5/2 == x

⇒ algebra.equations.linear.flip

x == -5/2