Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

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

⇒ algebra.equations.linear.balance.remove-div, factor=12

12+4*(-4*x-2) == 36*x+3*(-5*x+1)

⇒ algebra.equations.linear.balance.distribute

12-16*x-8 == 36*x-15*x+3

⇒ algebra.equations.linear.balance.collect

4-16*x == 21*x+3

⇒ algebra.equations.linear.balance.var-right-plus, term=16*x

4 == 37*x+3

⇒ algebra.equations.linear.balance.con-left-minus, term=3

1 == 37*x

⇒ algebra.equations.linear.balance.scale-to-one, factor=37

1/37 == x

⇒ algebra.equations.linear.flip

x == 1/37