Write out your work for all steps to solve the equation.
2x - 5 = 3(4x + 5)
To solve the equation 2x - 5 = 3(4x + 5), we will follow a series of steps to isolate the variable x.
Step 1: Distribute the 3 to the terms inside the parentheses:
2x - 5 = 12x + 15
Step 2: Combine like terms on both sides of the equation. Subtract 12x from both sides:
-10x - 5 = 15
Step 3: Add 5 to both sides of the equation:
-10x = 20
Step 4: Divide both sides of the equation by -10 to solve for x:
x = -20/10
Therefore, the solution to the equation 2x - 5 = 3(4x + 5) is x = -20/10, which simplifies to x = -2.