Question

How do you solve `\frac { 7} { 5} ( x - 2) = - \frac { 14} { 5}`?

Answer 1

`x = 0`

Explanation:

Step 1) Multiple each side of the equation by `5` to eliminate the fraction which will make the problem easier to work with and keep the equation balance.
Step 2) Expand the terms in parenthesis
Step 3) Solve for `x` while keeping the equation balanced

`5(7/5)(x - 2) = 5(-14/5)`

`7(x - 2) = -14`

`7x - 14 = -14`

`7x - 14 + 14 = -14 + 14`

`7x - 0 = 0`

`7x = 0`

`7x/7 = 0/7`

`x = 0`