Move x terms: We have the equation 6x+32=8x−8. To solve for x, we need to get all the x terms on one side and the constant terms on the other side. Let's start by moving the x terms to the left side by subtracting 8x from both sides of the equation.6x+32−8x=8x−8−8x
Simplify equation: Simplify the equation by combining like terms.6x−8x+32=−8−2x+32=−8
Isolate variable term: Now, we need to isolate the variable term −2x. We can do this by subtracting 32 from both sides of the equation.−2x+32−32=−8−32−2x=−40
Divide to solve for x: To solve for x, we need to divide both sides of the equation by −2.−2−2x=−2−40x=20