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