12−3x=8−4(2x−6)

Answer 1

To solve the equation 12−3x=8−4(2x−6), we first distribute the -4 to the terms inside the parentheses:

12−3x=8−4(2x)+4(6)

Simplifying further, we get:

12−3x=8−8x+24

Next, let's combine like terms on the right side of the equation:

12−3x= 32−8x

Now, let's move all the terms containing x to one side of the equation. We can do this by adding 3x to both sides:

12−3x+3x=32−8x+3x

This simplifies to:

12=32−5x

Next, let's move the 32 to the left side of the equation by subtracting 32 from both sides:

12−32=32−32−5x

This simplifies to:

-20=-5x

To solve for x, we divide both sides by -5:

-20/-5= -5x/-5

This simplifies to:

4= x

Therefore, the solution to the equation 12−3x=8−4(2x−6) is x = 4.