Answer:
x = 2.
Step-by-step explanation:
7x - (x - 12) = 32 - 4x Distributing the negative over the parentheses:-
7x - x + 12 = 32 - 4x Bringing like terms together:-
7x - x + 4x = 32 - 12 Simpifying:
10x = 20
x = 2.
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
In order to solve for the variable [tex]x[/tex], simply move all terms with the variable to one side and all constants to the other. [tex]7x-(x-12)=32-4x[/tex] => [tex]7x-x+12=32-4x[/tex] => [tex]6x+12=32-4x[/tex] => [tex]10x=20[/tex] => [tex]x=2[/tex].
You can check this answer by plugging it back into the equation as a substitute for the variable. [tex]7(2)-(2-12)=32-4(8)[/tex] => [tex]14-(-10)=32-8[/tex] => [tex]24=24[/tex], since the equation is true, this proves that x = 2 is the correct answer.
