An equation is shown below:
4(2x - 5) + 15 = 11
Write the steps you will use to solve the equation and explain each step.
1. Distribute the 4 to both terms inside the parentheses:
8x - 20 + 15 = 11
2. Combine like terms:
8x - 5 = 11
3. Add 5 to both sides of the equation to isolate x:
8x = 16
4. Divide by 8 on both sides to solve for x:
x = 2
5. Check your solution by plugging the value of x back into the original equation:
4(2(2) - 5) + 15 = 11
4(4 - 5) + 15 = 11
4(-1) + 15 = 11
-4 + 15 = 11
11 = 11
Since the equation is true with x = 2, the solution is correct.