Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

3*(1/5*x-1)+5 == 7*x-14

⇒ algebra.equations.linear.balance.distribute

3/5*x+2 == 7*x-14

⇒ algebra.equations.linear.balance.remove-div, factor=5

3*x+10 == 35*x-70

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

10 == 32*x-70

⇒ algebra.equations.linear.balance.con-left-plus, term=70

80 == 32*x

⇒ algebra.equations.linear.balance.scale-to-one, factor=32

5/2 == x

⇒ algebra.equations.linear.flip

x == 5/2