Answer:
[tex]a=3[/tex]
Step-by-step explanation:
So we have the equation:
[tex]4x-2(x+a)=8[/tex]
And we want to find a such that x = 7 is a possible solution.
To do so, substitute 7 for x. Thus:
[tex]4(7)-2(7+a)=8[/tex]
Multiply the left and distribute the right:
[tex]28-14-2a=8[/tex]
Subtract:
[tex]14-2a=8[/tex]
Subtract 14 from both sides:
[tex]-2a=-6[/tex]
Divide by -2: "
[tex]a=3[/tex]
So, the value of a is 3.
And our equation would be:
[tex]4x-2(x+3)=8[/tex]
And we're done!
Edit: Incorrect Answer
