Question

(25 points)

Solve the equation. SHOW your work. SHOW which properties of equality you used to solve each equation.

-6 = x/8 + 4

Answer 1

x = -80

Explanation:

Alright let's get started!

Rewrite the equation as ,

x/8 + 4 = -6

Move all terms not containing x to the right side of the equation.

(Subtract 4 from both sides of the equation.)

x/8 = -10

Multiply both sides of the equation by 8 to get rid of the denominator,

8 * x/8 = -10 * 8

8 cancels out on the left side,

x = -80

Answer 2

-80

Explanation:

We have: -6 =
`(x)/(8)` + 4. In order to solve for x, we need to isolate it; in order to isolate x, we have to "undo" order of operations.

The regular order of operations is PEMDAS: parentheses, exponents, multiplication, division, addition, subtraction.

Here, since we're solving for x, we need to go backwards. So, first, subtract 4 from both sides:

-6 - 4 =
`(x)/(8)` + 4 - 4 ⇒ -10 =
`(x)/(8)`

Then, multiply by 8 on both sides:

-10 * 8 =
`(x)/(8)` * 8 ⇒ x = -80

Thus, x = -80.

Hope this helps!