Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar.

x = 5

Step-by-step explanation:

We are given a linear single variable equation of x and we have to get the value of x from the equation.

Now, the equation is

- 2 ( x + 6 ) + 3 = - 11x + 4 ( x + 4 )

⇒ - 2x - 12 + 3 = - 11x + 4x + 16

⇒ 5x = 25

⇒ x = 5 (Answer)

x = 5

Step-by-step explanation:

Here we want to solve the equation:

-2(x + 6) + 3 = -11x + 4(x + 4)

the first step is distribute the parentheses at both sides:

-2x -12 + 3 = -11x + 4x + 16

-2x - 9 = -7x + 16

now, we put all the termx with an x in one side, and the other ones in the other side.

-2x + 7x = 16 + 9

5x = 25

now we divide by 5 in both sides, in this way we can isolate x.

5x/5 = 25/5

x = 5

people went from manufacturing one object at a time by hand to manufacturing many objects in factories

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.