Question

Write the steps in solving 7+8x=−33. Justify each step with an appropriate property.

Answer 1

[AI-generated answer — Bot GPT 3.5]

Step 1: Subtract 7 from both sides of the equation:

7 + 8x - 7 = -33 - 7
This is done using the Subtraction Property of Equality, which states that if you subtract the same number from both sides of an equation, the equality remains intact.

Step 2: Simplify both sides:
8x = -40
This step simply simplifies the expression on the left side of the equation.

Step 3: Divide both sides by 8:
(8x)/8 = (-40)/8
This is done using the Division Property of Equality, which states that if you divide both sides of an equation by the same number (except zero), the equality remains intact.

Step 4: Simplify both sides:
x = -5
This step simply simplifies the expression on the left side of the equation.

So, the solution to the equation 7 + 8x = -33 is x = -5. The steps above are justified by the Subtraction Property of Equality and the Division Property of Equality.