The answer is:
The value of "x" in the equation, is -7.
[tex]x=-7[/tex]
To solve this problem, we need to isolate the variable by applying distributive property and then, adding/subtracting like terms.
The distributive property states that:
[tex]a(b+-c)=(ab)+-(ac)[/tex]
Also, we need to remember that like terms are terms that share the same variable with the same exponent.
[tex]x^{2}+3x^{2} +x^{3}=3x^{2} +x^{3}[/tex]
In the example, we were only able to add the first two terms since both share the same exponent (2).
So, we are given the equation:
[tex]2(2x+14)=0\\2*(2x)+2*(14)=0\\4x+28=0\\4x=-28\\x=-\frac{28}{4}=-7[/tex]
Hence, the value of "x" in the equation, is -7.
[tex]x=-7[/tex]
Have a nice day!
