Use the following step as a guide to solve the following equation. Write out your work for all steps to solve the equation.

Question

2x - 5 = 3(4x + 5)

Steps

Step 1. Distributive Property

Step 2. Move variables to one side of the equation:
(Addition/Subtraction Property of Equalities)

Step 3. Move constant to the other side of equation:
(Addition/Subtraction Property of Equalities)

Step 4. Isolate your variable:
(Multiplication/Division Property of Equalities)

Answer 1

Step 1: Distributive Property

2x - 5 = 3(4x + 5)
2x - 5 = 12x + 15

Step 2: Move variables to one side of the equation

To move the variables to one side, we subtract 12x from both sides of the equation:

2x - 12x - 5 = 12x - 12x + 15
-10x - 5 = 15

Step 3: Move constant to the other side of the equation

To move the constant to the other side, we add 5 to both sides of the equation:

-10x - 5 + 5 = 15 + 5
-10x = 20

Step 4: Isolate the variable

To isolate the variable, we divide both sides of the equation by -10:

(-10x)/-10 = 20/-10
x = -2

So the solution to the equation is x = -2.