Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

3/5*x+9/10 == -7/5*x+7/2

⇒ algebra.equations.linear.balance.remove-div, factor=10

6*x+9 == -14*x+35

⇒ algebra.equations.linear.balance.var-left-plus, term=14*x

20*x+9 == 35

⇒ algebra.equations.linear.balance.con-right-minus, term=9

20*x == 26

⇒ algebra.equations.linear.balance.scale-to-one, factor=20

x == 13/10