need help checking
Create a 2-column proof for the following equation.
X + X + 10 + 2(2X + 10) = 180
X + X + 10 + 2(2X + 10) = 180 (Given)
2X + 10 + 2(2X + 10) = 180 (Simplify)
2X + 10 + 4X + 20 = 180 (Expand)
6X + 30 = 180 (Simplify)
6X = 180 - 30 (Subtract)
6X = 150 (Simplify)
X = 150/6 (Divide)
X = 25 (Simplify)
Sorry, I meant to ask if these were correct.
Your steps are correct, as is your solution
To check if the value of X = 25 is correct, we will substitute this value back into the original equation and see if it holds true.
Original equation: X + X + 10 + 2( 2X + 10 ) = 180
Replacing X with 25: 25 + 25 + 10 + 2(2(25) + 10) = 180
Simplify within the parentheses: 25 + 25 + 10 + 2(50 + 10) = 180
Evaluate the expressions within the parentheses: 25 + 25 + 10 + 2(60) = 180
Multiply: 25 + 25 + 10 + 120 = 180
Combine like terms: 60 + 10 + 120 = 180
Add: 190 = 180
The equation does not hold true when X = 25. Therefore, there is an error in the proof or in the original equation. Please double-check your steps to find where the mistake occurred.