71.6k views
19 votes
Find the value f x,

7x-\left(x-12\right)=32-4x

User Jpop
by
3.4k points

2 Answers

8 votes

Answer:


x=2

Explanation:

In order to solve for the variable
x, simply move all terms with the variable to one side and all constants to the other.
7x-(x-12)=32-4x =>
7x-x+12=32-4x =>
6x+12=32-4x =>
10x=20 =>
x=2.

You can check this answer by plugging it back into the equation as a substitute for the variable.
7(2)-(2-12)=32-4(8) =>
14-(-10)=32-8 =>
24=24, since the equation is true, this proves that x = 2 is the correct answer.

User Anirban Karak
by
3.6k points
11 votes

Answer:

x = 2.

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.

User Sarah Haskins
by
3.3k points