12-x=5x+16

add x to both sides, then subtract sixteen from both sides.

12-x = 5x + 16

-6x = 4

x = -4/6

To solve for x in the equation 12 - x = 5x + 16, we need to isolate x on one side of the equation.

Step 1: Begin by combining like terms.

12 - x - 5x = 16

Step 2: Simplify the equation by combining the x terms on the left side.

12 - 6x = 16

Step 3: Next, isolate the variable term by moving the constant to the opposite side of the equation.

12 - 16 = 6x

-4 = 6x

Step 4: To solve for x, divide both sides of the equation by the coefficient of x, which is 6.

-4/6 = x

Step 5: Simplify the fraction (-4/6 is equivalent to -2/3).

x = -2/3

Therefore, the solution to the equation 12 - x = 5x + 16 is x = -2/3.