Question

6-8x=7x-9x+12

x = ??

Answer 1

x = -1

Explanation:

6-8x=7x-9x+12

To solve the equation, we will follow the step below;

First we will collect the like terms, this implies that all the number with x variables will be taken to the left-side while all the constant will be taken to the right-hand side.

That is;

6-8x=7x-9x+12

-8x -7x + 9x = 12 - 6

-6x = 6

Divide both-side of the equation by -6 to get the value of x

`(-6x)/(-6)` =
`(6)/(-6)`

(On the left-hand side of the equation -6 at the numerator will cancel-out -6 at the denominator leaving us with just x, while on the right-hand side of the equation 6 will be divided by -6)

x =
`(6)/(-6)`

x = -1

Answer 2

x = -1

Explanation:

Step 1: Combine like terms on the right side

6 - 8x = 7x - 9x + 12

6 - 8x = -2x + 12

Step 2: Add 8x to both sides

6 - 8x + 8x = -2x + 12 + 8x

6 = 6x + 12

Step 3: Subtract 12 from both sides

6 - 12 = 6x + 12 - 12

-6 = 6x

Step 4: Divide both sides by 6

-6 / 6 = 6x / 6

-1 = x

Answer: x = -1