Respuesta :
If we have that the equation is:
[tex]-2(x-10)=14[/tex]We need to proceed as follows to find the value of x (there are many ways to solve it. One is as follows):
1. Apply the distributive property at the left side of the equation:
[tex]-2(x)-2(-10)=14\Rightarrow-2x+20=14[/tex]2. Subtract 20 from both sides of the equation:
[tex]-2x+20-20=14-20\Rightarrow-2x=-6[/tex]3. Divide both sides by -2:
[tex]-\frac{2x}{-2}=-\frac{6}{-2}\Rightarrow x=3[/tex]If we substitute this value into the original equation, we have:
[tex]-2(3-10)=14\Rightarrow-2(-7)=14\Rightarrow14=14[/tex]Therefore, we have that x = 3 is a solution of the equation:
[tex]-2(x-10)=14[/tex]After solving the equation, and then by checking the correctness of the value, we have that x = 3.
In summary, x = 3 is a solution.
