Exercise algebra.equations.linear.balance

Description
Solve a linear equation using only balance rules.

Derivation

3/4*(x+2)-9/2 == -5/4*(x-7)

⇒ algebra.equations.linear.balance.remove-div, factor=4

3*(x+2)-18 == -5*(x-7)

⇒ algebra.equations.linear.balance.distribute

3*x-12 == -5*x+35

⇒ algebra.equations.linear.balance.var-left-plus, term=5*x

8*x-12 == 35

⇒ algebra.equations.linear.balance.con-right-plus, term=12

8*x == 47

⇒ algebra.equations.linear.balance.scale-to-one, factor=8

x == 47/8