Final answer:
The solution to the equation 4x - 4 = 7 + 3x is x = 11. This was confirmed by substituting 11 for x and simplifying both sides of the equation to verify they match.
Step-by-step explanation:
To solve the equation 4x - 4 = 7 + 3x, you need to do the following steps:
- First, you should start by isolating x on one side of the equation. To do this, subtract 3x from both sides which will give you x - 4 = 7.
- Next, add 4 to both sides of the equation to solve for x. The final answer would be x = 11.
- Lastly, confirm your answer by substituting 11 for x in the original equation. This results in 4(11) - 4 = 7 + 3(11) which simplifies to 44 - 4 = 7 + 33. Both sides of the equation simplify to 40 and match, indicating your solution of x = 11 is correct.
Learn more about Solving Linear Equations