5 - 6x = -7

do reverse P.E.M.D.A.S and explain.

1 answer

To solve the equation 5 - 6x = -7 using the reverse order of PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction), we need to isolate the x variable.

Starting with the equation:
5 - 6x = -7

Step 1: Move the constant term to the other side of the equation by adding 7 to both sides:
5 - 6x + 7 = 0
12 - 6x = 0

Step 2: Simplify the equation:
-6x + 12 = 0

Step 3: Move the coefficient of x term to the other side of the equation by subtracting 12 from both sides:
-6x = -12

Step 4: Divide both sides of the equation by the coefficient of x (-6) to solve for x:
x = -12 / -6

Step 5: Simplify the expression:
x = 2

Therefore, the solution to the equation 5 - 6x = -7 using the reverse order of PEMDAS is x = 2.