Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

(-1[2/5])*x+3[1/2] == 3/5*x+9/10

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

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

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

35 == 20*x+9

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

26 == 20*x

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

13/10 == x

⇒ algebra.equations.linear.flip

x == 13/10