Question

How many solutions are there to the equation below

7(x+2)=7x-10

Answer 1

No solution

Explanation:

`7(x+2)=7x-14\\7x-14-7x+10=0\\-4=0\\`

it is not possible -4=0

S0 there is no solution in equation.

Answer 2

No solutions

Explanation:

Simplify the given equation:

`7(x+2)=7x-10`

Distribute, multiply every term inside of the parenthesis by the term outside of it.

`7(x+2)=7x-10`

`7(x)+7(2)=7x-10`

Simplify,

`7x+14=7x-10`

Inverse operations,

`7x+14=7x-10`

`7x+(-7x)+14=7x+(-7x)-10`

Simplify,

`7x+(-7x)+14=7x+(-7x)-10`

`7x-7x+14=7x-7x-10`

`14=-10`

This equation simplifies down to an untrue equation, therefore, there are no solutions to this equation.