Question

3(2x-2)=6(x-1)
How do you do this

Answer 1

`\large\bf\implies{infinitely \:many\: solutions}`

Alternate forms :

`\large \bf \implies{x \in ( - \infty \: , \infty)}`

Explanation:

`\bf \longrightarrow{3(2x - 2) = 6(x - 1)}`

• Apply the Distributive Property

`\bf \longrightarrow{6x - 6 = 6x - 6}`

• Rearrange variables to the left side of the equation

`\bf \longrightarrow{6x - 6x = - 6 + 6}`

• Apply the inverse property of addition

`\bf \longrightarrow{0 = 0}`

• Bases on the given conditions, the (system of) equation(s) has

`\bf \longrightarrow{infinitely \:many\: solutions}`