Final answer:
To solve the equation, distribute the 2 and isolate the variable x.
Step-by-step explanation:
To solve the equation 5x + 6 = 2(2x-3), you need to distribute the 2 to both terms inside the parentheses. This gives you: 5x + 6 = 4x - 6. Next, you want to isolate the variable x on one side of the equation. To do this, subtract 4x from both sides of the equation: 5x - 4x + 6 = -6. Simplifying this further, we get: x + 6 = -6. Finally, subtract 6 from both sides to solve for x: x + 6 - 6 = -6 - 6. The simplified equation is: x = -12.
Learn more about Solving equations with variables on both sides