Final answer:
To solve the equation 5x + 6 = 2(2x-3), simplify both sides and isolate the variable x. x = -12.
Step-by-step explanation:
To solve the equation 5x + 6 = 2(2x-3), you need to simplify both sides and isolate the variable x. Distribute the 2 to the terms inside the parentheses: 5x + 6 = 4x - 6. Next, move all the x terms to one side by subtracting 4x from both sides: 5x - 4x + 6 = -6. Combine like terms: x + 6 = -6. Finally, isolate x by subtracting 6 from both sides: x + 6 - 6 = -6 - 6. Simplifying, x = -12.
Learn more about Solving equations with variables on both sides