Question

How do you solve `5( x - 2) + x = 6( x - 4)`?

Answer 1

No real solutions

Explanation:

distribute the five on the left side and combine like terms and distribute the six on the right side. This yields 6x-10=6x-24 which simplifies to -10=-24 which is not a true statement and therefore there are no real solutions.

Answer 2

This equation has No Solution.

Explanation:

First, you must simplify the two sides of the equation by applying the Distributive Property and combining like terms.

`5(x - 2) + x = 6(x - 4)`
`5x - 10 + x = 6x - 24`
`6x - 10 = 6x - 24`

Now that both sides of the equation are simplified, use inverse operations to solve the equation.

`6x - 6x - 10 = 6x - 6x - 24`
`-10 = -24`
`-10 + 10 = -24 + 10`
`0 != -14`

Because we obtained an untrue statement when we used inverse operations to try to solve the equation for `x`. The equation has no solution. That means there is no value of `x` which will make the equation true.