Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

-3*x+3*(2*x-5) == 4*(4*x-1)-2

⇒ algebra.equations.linear.balance.distribute

-3*x+6*x-15 == 16*x-6

⇒ algebra.equations.linear.balance.collect

3*x-15 == 16*x-6

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

-15 == 13*x-6

⇒ algebra.equations.linear.balance.con-left-plus, term=6

-9 == 13*x

⇒ algebra.equations.linear.balance.scale-to-one, factor=13

-9/13 == x

⇒ algebra.equations.linear.flip

x == -9/13